{"id": "python/three_chain_target/0/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-81, 87, 99, -84, 79, -13, -12, 61, 60, 90]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[8,4,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[90,60,-12,-84,79,-13,99,61,87,-81]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[8,4,2]}]"}
{"id": "python/three_chain_target/0/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-98, 54, -58, -93, -29, 82, -58, 43, -36, -87]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_1):\n        if not stk or list_1[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_1) - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-81, -48, 35, -51, -32, 64, 92, -35, -28, 16].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[35,-35]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,-51,35,-48,-35,64,92,-32,-28,16]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[35,-35]}]"}
{"id": "python/three_chain_target/0/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [27, -51, -47, -37, 71, -3, -26, 63, -52, 72]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [16, 42, 86, 8, -67, -23, 35, 54, -69, 43].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[16,8]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[16,42,86,8,-69,-23,35,54,-67,43]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[16,8]}]"}
{"id": "python/three_chain_target/0/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -27}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -67.\nDefine task_1_energy_static = [-30, -1, 39, -25, 76, 37, 97, 76, 16, -66].\nDefine task_1_experience_static = [-34, 1, -80, -95, 55, -29, 63, 62, 33, -11].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-87, 62, -62, -54, -35, 84, 68, -93, -89, 27].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[62,-62]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":578},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-93,-89,-87,-62,-54,-35,27,62,68,84]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[62,-62]}]"}
{"id": "python/three_chain_target/0/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 41}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-59, 95, 61, -98, 28, 20, 39, -8, 68, 83].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-58, -88, -54, 23, 52, 90, 89, 91, 66, -22].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[66,-22]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-58,-88,-54,23,52,89,90,91,66,-22]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[66,-22]}]"}
{"id": "python/three_chain_target/0/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-5, -62, -34, -98, -61, 71, -29, 50, 65, 45]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    s = set()\n    for n in list_1:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_1 = len(s)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -71.\nDefine task_2_bound_static = 93.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[6,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-70,6,-66,26,-46]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[6,2]}]"}
{"id": "python/three_chain_target/0/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [46, -46, -9, -81, 35, -52, 62, -88, -59, -69]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -20.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    if list_1[0] > k:\n        python_result_1 = k\n        return python_result_1\n    (left, right) = (0, len(list_1))\n    while left < right:\n        mid = left + right >> 1\n        if list_1[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = list_1[left - 1] + k - (list_1[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-5, 92, -88, 40, -76, -64, -62, 87, -39, -82].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[40,-5]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-20},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-5,92,-88,40,-76,-64,-62,87,-39,-82]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[40,-5]}]"}
{"id": "python/three_chain_target/0/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 94}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [69, -28, -25, -76, 81, 96, -1, -15, 86, 57].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-66, 91, -26, 42, 35, -22, -82, -6, -94, -13].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[42,-6]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":22996},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-82,-66,-26,-22,-13,-6,35,42,91]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[42,-6]}]"}
{"id": "python/three_chain_target/0/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [22, 70, -16, -100, 41, 64, -80, 5, -29, -52]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_1[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 43.\nDefine task_2_bound_static = 74.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[44,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":75},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,44]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[44,2]}]"}
{"id": "python/three_chain_target/0/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-25, 83, 23, -77, -18, -10, 52, 9, 6, -29]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 94.\nDefine task_2_bound_static = 13.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[8,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[8,2]}]"}
{"id": "python/three_chain_target/0/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 0}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-91, 45, 39, 36, -33, -97, -78, -85, -77, 6].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [22, 63, -12, 1, 31, 15, -78, -11, -28, 51].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[15,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":33},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-28,-12,-11,1,15,22,-78,31,51,63]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[15,1]}]"}
{"id": "python/three_chain_target/0/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 27}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 93.\nDefine task_2_bound_static = 70.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[6,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,6,26]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[6,2]}]"}
{"id": "python/three_chain_target/0/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [83, -34, 30, 77, 53, -84, 4, 38, -15, 11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_passengers_static = [-45, -45, -91, -26, -15, 13, -50, 7, -62, 1].\nDefine task_1_capacity_static = 78.\nTrace the execution of task_1 with inputs passengers = task_1_passengers_static, capacity = task_1_capacity_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], passengers: List[int], capacity: int) -> int:\n    list_1.sort()\n    passengers.sort()\n    j = 0\n    for t in list_1:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_1[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -51.\nDefine task_2_bound_static = 87.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[32,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":83},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-50,84,32]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[32,2]}]"}
{"id": "python/three_chain_target/0/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [23, -75, -42, 28, -49, -33, 73, 41, 7, 99]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 29.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    list_1.sort()\n    n = len(list_1)\n    m = n >> 1\n    ans = abs(list_1[m] - k)\n    if list_1[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_1[i] <= k:\n                break\n            ans += list_1[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_1[i] >= k:\n                break\n            ans += k - list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -98.\nDefine task_2_bound_static = 47.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[8,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-97,8,-91]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[8,2]}]"}
{"id": "python/three_chain_target/0/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 82}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [56, -19, -75, -83, -86, 51, 99, 75, 59, -5].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[75,-5]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":79},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,-83,-75,-19,-5,51,56,59,75,99]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[75,-5]}]"}
{"id": "python/three_chain_target/0/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 0, "target_native_task_name": "largestDivisibleSubset:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [70, 55, 58, 95, 73, -1, 48, 65, -62, -53]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    list_3.sort()\n    n = len(list_3)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[i] % list_3[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_3[k] % list_3[i] == 0 and f[i] == m:\n            ans.append(list_3[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[30,15,5]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,1,2,10,6,1,2,5,1,2]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[30,26,23,11,5,12,15,22,28,31]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[30,15,5]}]"}
{"id": "python/three_chain_target/1/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 44}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [88, -57, 1, 88, 100, -20, -28, 23, -35, -37].\nDefine task_1_passengers_static = [27, 82, -6, -67, 58, -50, -70, 59, 9, -94].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [34, -71, 32, 26, -27, 4, -98, 89, -49, -78].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":100},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[34,-71,32,26,-27,4,-98,89,-49,-78]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/1/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [63, -39, -71, -46, 54, -3, 63, 67, -82, 57]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-76, -48, 98, 33, 33, -53, -81, -66, 95, -98].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[67,54,-46,54,63,63,67,-1,57,63]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-10,3,49,84,93,8,-14,-68,150,-35]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/1/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [54, 2, -92, 20, -61, 15, 61, -83, -60, -70].\nDefine task_1_runningCost_static = -55.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [30, -49, 39, 41, -71, 40, -25, 92, -55, 34].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[30,-49,39,40,-71,41,-25,92,-55,34]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/1/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 47}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_1:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_1:\n        ans += 1\n        s += k\n        k += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-3, 71, -49, -90, 75, 66, 62, 7, 57, 2].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":20},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-3,57,-49,-90,62,66,71,2,75,7]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/1/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [44, -18, 29, 88, 74, -84, -63, -63, 39, -1]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[1,25,36,153,315,305,158,32,8,46]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[278,252,191,102,34,14,49,139,179,233]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/1/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -11}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [48, 22, -7, -20, 37, -37, -98, 82, -1, -24].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[48,22,-7,-20,37,-37,-98,82,-1,-24]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[82,37,37,37,82,82,82,-1,48,48]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/1/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [99, -96, -28, -53, -61, 63, -61, 76, -96, -15]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_1) - 1):\n        if list_1[i] == list_1[i + 1]:\n            continue\n        if list_1[i] > list_1[j] and list_1[i] > list_1[i + 1]:\n            ans += 1\n        if list_1[i] < list_1[j] and list_1[i] < list_1[i + 1]:\n            ans += 1\n        j = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [20, 80, 88, -61, 6, 52, -55, 49, -19, -52].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[20,80,88,-61,6,49,-55,52,-19,-52]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/1/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [53, 14, 93, -81, -81, -64, -27, 78, -94, 49]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-17, -86, 47, 42, 54, -25, 68, -42, 0, 17].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 35.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,34,-73,138,-39,-27,-90,38,34,-95,64]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-90,-73,-39,-27,1,1,34,34,38,38]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/1/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 16}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -13.\nDefine task_2_bound_static = 66.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-12,6,-8,26,12]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/1/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [54, 1, 44, 84, 88, -95, 68, 20, -62, 8]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 77.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[54,8,44,84,88,-62,68,20,-95,1]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-95,-62,1,8,20,44,54,68,84,88]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/1/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 75}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [55, -48, -8, -8, -51, 78, 25, 33, -97, -90].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":69},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,-90,-51,-48,-8,-8,25,33,55,78]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/1/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-17, -88, 19, -6, -51, 91, -50, 86, 79, 48]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [47, -1, -54, -57, -47, -57, 15, -77, -7, 88].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[128,233,302,289,346,306,265,229,64,63]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,72,30,-53,31,1,-52,78,-49,54,149]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/1/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 17}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-11, -23, -39, -35, 80, -25, -21, 64, 56, 29].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-1, -77, 98, 79, -56, -15, 94, 92, 9, 59].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":58},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-77,-56,-15,-1,9,59,79,92,94,98]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/1/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -61}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [10, -8, 25, -49, -39, -61, 57, 94, 81, -47].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[10,-8,25,-49,-39,-61,57,94,81,-47]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/1/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-46, 28, -67, -5, -36, 65, 38, -59, 12, 80].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [39, -86, 9, 24, -28, 37, 45, -38, 53, 56].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":86},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,-38,-28,9,24,37,39,45,53,56]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/1/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 1, "target_native_task_name": "longestWPI:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-8, -74, -37, 58, 54, 50, -53, -61, 63, -20].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [45, 40, 24, 59, -31, -68, -19, 10, 67, 31].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_3):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":162},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-68,-31,-19,10,24,31,40,45,59,67]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/2/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-1, 95, 42, 84, -6, -75, -6, -66, 78, -6]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -46.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [35, -71, -50, -56, -41, -27, 3, 31, 60, 3].\nDefine task_3_capacity_static = -68.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "95", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-6,78,42,84,-6,-66,-6,-75,95,-1]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-6,78,42,84,-6,-66,-6,-75,95,-1]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":95}]"}
{"id": "python/three_chain_target/2/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -32}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [29, -43, -83, 62, -3, 89, 89, 27, 33, 11].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [58, -41, 63, 0, 87, -75, 56, -86, 84, -1].\nDefine task_3_capacity_static = 11.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "89", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[29,-43,-83,62,-3,89,89,27,33,11]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[29,-43,-43,29,30,89,89,30,30,11]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":89}]"}
{"id": "python/three_chain_target/2/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -15}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-95, 72, -64, 67, -36, -23, 80, 71, 72, -22].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [100, -46, 52, 14, -67, 78, 4, 69, 0, 83].\nDefine task_3_capacity_static = -4.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "98", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,72,-64,67,-36,-23,80,71,72,-22]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[217,240,232,229,198,257,200,49,94,144]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":98}]"}
{"id": "python/three_chain_target/2/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -71}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [23, -61, 98, 14, -16, -75, -59, 56, 34, 73].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-1, 90, -5, 85, 34, -61, -56, 59, -37, -89].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [-15, 74, -44, 71, -64, -59, 51, 12, -9, -47].\nDefine task_3_capacity_static = 50.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "90", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-71},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-1,90,-5,85,34,-61,-56,59,-37,-89]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":90}]"}
{"id": "python/three_chain_target/2/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -53}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [69, 92, 11, 30, -85, 10, 81, -54, 4, -45].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-94, -11, 64, -14, -26, -78, 0, 25, 3, 95].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [-72, 70, 30, 72, 100, 6, 49, 74, -11, 84].\nDefine task_3_capacity_static = 1.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "48", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-14,64,-11,-26,-78,0,25,3,95]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":48}]"}
{"id": "python/three_chain_target/2/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 30}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -24.\nDefine task_1_bound_static = 46.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    list_2.sort()\n    n = len(list_2)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_2[i] % list_2[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_2[k] % list_2[i] == 0 and f[i] == m:\n            ans.append(list_2[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [-92, 54, -37, 99, -67, 95, -76, 44, 51, 35].\nDefine task_3_capacity_static = 65.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-23,31,6]},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[6,2]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/2/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [43, -39, -79, -88, -14, -59, -14, 41, 90, -98]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [-84, 20, 17, 72, -76, 93, -75, -56, -85, 69].\nDefine task_3_capacity_static = 39.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "68", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[260,264,146,21,123,196,269,242,111,119]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[60,60,46,23,23,69,69,42,19,19]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":68}]"}
{"id": "python/three_chain_target/2/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -10}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -70.\nDefine task_1_energy_static = [-25, -44, -74, 2, 40, -84, -99, -64, -57, -79].\nDefine task_1_experience_static = [-16, 86, 94, -4, -96, 80, -79, -43, 26, -37].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -24.\nDefine task_2_bound_static = 41.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [21, -41, -53, 25, 82, -28, 1, 47, -47, -50].\nDefine task_3_capacity_static = 54.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":173},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-23]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/2/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-97, -42, -97, 41, 91, 65, 96, 64, -17, -70]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [3, -82, -50, 37, 29, 27, -51, -51, 48, -46].\nDefine task_3_capacity_static = -15.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,3,1,4,6,1,10,3,2,1]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[1,2,2,4,4,4,4,3,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/2/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [69, -93, -61, -69, 83, -50, 21, -88, 19, 27]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [47, -28, -47, -52, -64, 52, 70, -24, -85, -19].\nDefine task_3_capacity_static = -81.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-6,-4,-2,0,2,4,6,8,10,-1]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/2/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-99, -71, -65, 93, -98, 90, -87, -17, 45, -59]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 82.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    n = len(list_1)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_1[i] < list_1[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -64.\nDefine task_2_bound_static = 51.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [-87, -4, 17, -95, -4, 69, 9, 49, 36, 57].\nDefine task_3_capacity_static = 31.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "28", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-63,4,-61,10,-55,28,-37]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":28}]"}
{"id": "python/three_chain_target/2/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-37, 79, 5, -48, 2, 28, -29, 59, 69, -39]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [-9, 81, 49, 3, 18, 69, 8, -53, 13, -98].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_1, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-90, -65, 67, 13, 80, -67, -40, -91, 3, 31].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [50, -51, 13, -6, -60, -43, -77, 61, 42, -3].\nDefine task_3_capacity_static = -47.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "80", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":24},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-91,-90,67,3,80,-67,-40,-65,13,31]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":80}]"}
{"id": "python/three_chain_target/2/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [44, 57, 32, -80, -73, 35, 62, -85, 19, -81]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [-51, -48, -60, 7, -33, 86, -99, 28, 81, 11].\nDefine task_3_capacity_static = -99.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "36", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,6,3,1,2,4,10,1,3,1]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,36,9,1,4,16,100,1,9,1]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":36}]"}
{"id": "python/three_chain_target/2/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 54}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 91.\nDefine task_1_bound_static = 86.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-77, -1, 65, -68, 30, 21, -90, -18, 80, -47].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [43, 97, 25, -79, 4, -31, -33, 59, 68, -19].\nDefine task_3_capacity_static = -30.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "80", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,55]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-47,80,-18,-90,21,30,-68,65,-1,-77,2,55]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":80}]"}
{"id": "python/three_chain_target/2/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -94}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [81, -28, -100, -30, -55, 2, -58, 68, -3, 38].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 67.\nDefine task_2_bound_static = 41.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [50, 10, -33, -33, 92, 79, -6, -84, -79, 32].\nDefine task_3_capacity_static = 24.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,11]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/2/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 2, "target_native_task_name": "latestTimeCatchTheBus:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [100, -99, -61, 30, -34, 30, -52, 20, 1, -25]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    k = 3\n    n = len(list_1)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_1[i % n] == list_1[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [41, -33, 32, -76, 3, -80, -84, -8, 99, -33].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_passengers_static = [59, 94, -82, -60, 26, -49, 25, 44, -81, -2].\nDefine task_3_capacity_static = -81.\nTrace the execution of task_3 with inputs passengers = task_3_passengers_static, capacity = task_3_capacity_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], passengers: List[int], capacity: int) -> int:\n    list_3.sort()\n    passengers.sort()\n    j = 0\n    for t in list_3:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_3[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "99", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[32,-33,41,-84,3,-80,-76,-8,99,-33]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":99}]"}
{"id": "python/three_chain_target/3/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -2}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [59, 48, -62, 68, -71, -74, 63, 57, -4, -12].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_boardingCost_static = 30.\nDefine task_2_runningCost_static = -80.\nTrace the execution of task_2 with inputs boardingCost = task_2_boardingCost_static, runningCost = task_2_runningCost_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_2):\n        wait += list_2[i] if i < len(list_2) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [-42, 44, 98, 94, -75, -90, -60, 85, -25, -71].\nDefine task_3_passengers_static = [-22, -94, -49, -75, 40, -67, 57, 63, -82, -66].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "98", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[59,48,-62,68,-71,-74,63,57,-4,-12]},{\"node_id\":\"task_2\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":32},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":98}]"}
{"id": "python/three_chain_target/3/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-7, -20, 14, 76, 59, 48, -91, -9, 45, 77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (i, n) = (0, len(list_2))\n    while i + 1 < n and list_2[i] < list_2[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_2 = n * (n + 1) // 2\n        return python_result_2\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_2[i] >= list_2[j]:\n            i -= 1\n        ans += i + 2\n        if list_2[j - 1] >= list_2[j]:\n            break\n        j -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [18, -38, 53, 82, 52, 87, -72, 56, -30, 51].\nDefine task_3_passengers_static = [31, 60, -13, 12, 97, 65, -35, 68, -92, -93].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "87", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":55},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":87}]"}
{"id": "python/three_chain_target/3/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -22}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [55, 33, 68, 90, -6, 71, -80, 77, -73, -98].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [-25, 39, 49, 61, -73, -24, 66, -39, -23, -56].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [75, -7, 71, -82, 1, 71, -74, 17, -26, -42].\nDefine task_3_passengers_static = [-11, -21, 70, 80, 47, -92, -5, 77, -24, 56].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "75", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-22},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":75}]"}
{"id": "python/three_chain_target/3/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-93, 0, 16, -86, 38, 72, -36, 31, 90, -14]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = 37.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    (ans, y) = (1, list_2[0])\n    for x in list_2[1:]:\n        if x == 0:\n            python_result_2 = 1\n            return python_result_2\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [83, -89, 32, -10, -53, 87, -98, -65, 5, 27].\nDefine task_3_passengers_static = [-55, 59, -21, -63, -98, -35, 75, 26, 4, 32].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "87", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":87}]"}
{"id": "python/three_chain_target/3/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [8, -14, 100, -2, 86, 19, -71, 75, 80, 95]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_2[l] > list_2[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_2[j] > list_2[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_2[i] < list_2[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_2[j] > list_2[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_2 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [6, 68, -50, 4, 11, -67, -55, -74, 75, 43].\nDefine task_3_passengers_static = [95, 53, 68, 61, 99, 3, 19, 94, -80, -28].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "75", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,4,196,64,7396,361,5041,5625,6400,9025]},{\"node_id\":\"task_2\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":-6},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":75}]"}
{"id": "python/three_chain_target/3/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [86, -65, -77, 5, 2, -10, 77, -56, -67, 39]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 5.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_2[1:]):\n        if list_2[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_2[1:]):\n        if list_2[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [-26, 95, 96, 11, 77, -3, -20, 58, 21, -40].\nDefine task_3_passengers_static = [-36, 56, -69, -13, -39, 79, -15, 44, -13, 44].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "96", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[86,-67,-77,2,5,-10,77,-56,-65,39]},{\"node_id\":\"task_2\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":96}]"}
{"id": "python/three_chain_target/3/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -97}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -23.\nDefine task_1_energy_static = [-8, 62, 29, -39, -73, 78, 55, -46, 15, 61].\nDefine task_1_experience_static = [-15, 8, -57, -100, -3, -72, -94, -4, 4, 55].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    s = list(str(val_2))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_2 = int(''.join(s))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [-90, 51, -51, -16, -54, 67, -75, -29, -100, -63].\nDefine task_3_passengers_static = [37, -55, 54, -84, -55, 91, 91, 21, 59, -90].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "67", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":644},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":44},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":67}]"}
{"id": "python/three_chain_target/3/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -57}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-79, -48, 19, -57, -50, 56, -11, 31, 73, 13].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [54, -36, 38, 32, 31, 74, -3, 52, 69, -9].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_2)\n    if nums[m] > val_2:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_2:\n                break\n            ans += nums[i] - val_2\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_2:\n                break\n            ans += val_2 - nums[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [-99, 75, 65, -62, 4, 99, -92, 38, -9, -35].\nDefine task_3_passengers_static = [13, -26, 66, 74, -86, -46, 50, -30, 2, -73].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "99", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":71},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":99}]"}
{"id": "python/three_chain_target/3/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-62, -96, -42, -73, -18, 27, 31, 30, -73, 63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [68, 92, -82, 70, 59, -77, -43, -74, 40, -45].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_1, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [88, -76, -89, 90, 93, 48, -46, -70, 65, 89].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [-81, -87, -73, 83, 69, -95, 48, 74, 70, -39].\nDefine task_3_passengers_static = [15, -98, -42, 19, -85, -97, 85, 31, -63, -80].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "83", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":13},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":93},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":83}]"}
{"id": "python/three_chain_target/3/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-24, -65, -86, -31, 17, -37, 9, -11, 70, -11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_2)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_2[0]\n    for (i, v) in enumerate(list_2):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [-61, -20, -54, 33, 21, 11, -36, 65, 25, -32].\nDefine task_3_passengers_static = [65, -95, -3, 90, 20, -65, 9, -89, 33, 95].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "64", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[17,-31,-31,17,70,9,70,70,-1,17]},{\"node_id\":\"task_2\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":628},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":64}]"}
{"id": "python/three_chain_target/3/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [43, 56, 92, 32, -57, -9, 85, 63, -98, -60].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [-43, 12, -31, 26, -17, 47, 55, -45, -20, -8].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [1, -44, -11, -21, 60, 30, 85, -4, -72, -19].\nDefine task_3_passengers_static = [53, 75, -17, -27, -58, 83, -35, -92, 57, 53].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "85", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":92},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":85}]"}
{"id": "python/three_chain_target/3/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 63}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -72.\nDefine task_1_bound_static = 78.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_2)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [85, -1, 47, 63, 29, 36, -62, -98, 99, 98].\nDefine task_3_passengers_static = [-52, 3, 19, -12, 49, -12, -74, 72, -91, -1].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "99", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-71,64,-9]},{\"node_id\":\"task_2\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":64},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":99}]"}
{"id": "python/three_chain_target/3/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-88, -65, -31, 74, -29, 67, 7, -100, 86, -84]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_2)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [-24, -51, 29, 79, -82, 59, 6, -2, 46, 77].\nDefine task_3_passengers_static = [11, -84, -28, 35, 95, -86, 76, 77, -26, -77].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "79", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,1,1,5,1,3,2,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":79}]"}
{"id": "python/three_chain_target/3/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-69, -88, 24, 40, -97, 44, 9, 87, -1, -43].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = 40.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    list_2.sort()\n    n = len(list_2)\n    m = n >> 1\n    ans = abs(list_2[m] - k)\n    if list_2[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_2[i] <= k:\n                break\n            ans += list_2[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_2[i] >= k:\n                break\n            ans += k - list_2[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [69, 56, -1, -83, -7, -84, -7, 68, 51, 2].\nDefine task_3_passengers_static = [-9, -21, 68, 10, -59, 97, -23, 47, -6, 41].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "69", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-69,-88,24,40,-97,44,9,87,-1,-43]},{\"node_id\":\"task_2\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":47},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":69}]"}
{"id": "python/three_chain_target/3/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-69, -88, -4, 62, 49, 69, -65, 50, 5, 62]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_1[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [80, -55, 20, 34, 24, 93, 28, -30, -53, 1].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_2:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [89, -98, -47, -15, -93, -18, 44, 65, -31, 59].\nDefine task_3_passengers_static = [81, -25, -51, 88, -32, 55, -31, 47, -38, 20].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "89", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":69},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":78},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":89}]"}
{"id": "python/three_chain_target/3/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 3, "target_native_task_name": "latestTimeCatchTheBus:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-56, -31, 85, -54, -30, 99, 7, -4, -94, -76]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_2) - 1):\n        if list_2[i] == list_2[i + 1]:\n            continue\n        if list_2[i] > list_2[j] and list_2[i] > list_2[i + 1]:\n            ans += 1\n        if list_2[i] < list_2[j] and list_2[i] < list_2[i + 1]:\n            ans += 1\n        j = i\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_buses_static = [64, -7, -88, -58, 74, 38, -27, -34, 17, -24].\nDefine task_3_passengers_static = [-97, -45, -51, 38, 54, -85, 14, 13, 83, -63].\nTrace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.\n```python\nfrom typing import List\ndef task_3(buses: List[int], passengers: List[int], val_3: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_3\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "74", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[98,11,65,96,12,81,187,190,92,78]},{\"node_id\":\"task_2\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":74}]"}
{"id": "python/three_chain_target/4/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 59}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-90, 100, -88, 92, 66, 54, -56, -52, -67, -4].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-90,-88,-67,-56,-52,-4,54,66,92,100]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-8}]"}
{"id": "python/three_chain_target/4/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 49}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [-65, -73, 39, 4, -71, 95, 7, 36, -54, -29].\nDefine task_1_passengers_static = [90, -42, -86, 88, -31, 25, -36, -18, -82, 84].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-55, 2, 74, 86, 53, 78, -79, -48, 72, 41].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-79", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":95},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-79,-55,-48,2,41,53,72,74,78,86]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-79}]"}
{"id": "python/three_chain_target/4/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 66}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [33, -42, 36, 6, -79, -99, -86, 91, 88, 37].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -15.\nDefine task_2_bound_static = 81.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-14", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":90},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-14]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-14}]"}
{"id": "python/three_chain_target/4/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [7, -72, 93, 83, -4, -59, 47, -10, -42, -23]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [48, 83, -53, 86, -55, 33, 62, 49, -64, -66].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-64", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-42,-72,-10,-4,83,-59,47,93,7,-23]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,3,9,-64,79,26,-27,106,140,-57,-89]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-64}]"}
{"id": "python/three_chain_target/4/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -73}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [20, -75, 87, -52, 11, -83, 69, 12, 0, -53].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[20,-75,87,-52,11,-83,69,12,0,-53]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-8}]"}
{"id": "python/three_chain_target/4/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [36, -86, 5, 91, 28, -64, -64, -48, -19, -17]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_1):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 100.\nDefine task_2_bound_static = 65.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,6,26]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/4/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 46}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-50, -43, 26, 22, 51, 24, -49, 4, 36, -74].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-49", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-74,-50,4,22,24,26,-49,36,51,-43]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-74,-50,4,22,24,26,36,-49,51,-43]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-49}]"}
{"id": "python/three_chain_target/4/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [91, 1, 69, 86, -28, 98, 90, -59, -17, 77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_1[j] > list_1[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 13.\nDefine task_2_bound_static = 22.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,14,8,20]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/4/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-83, 13, 23, 47, 46, -22, 85, -5, -55, 59]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [-64, -14, -38, 85, 89, -11, -1, -3, -44, 34].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_1, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [12, -63, -16, 59, 63, 55, -100, 9, 79, 68].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-63", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":26},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-16,-63,9,55,59,63,-100,12,68,79]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-63}]"}
{"id": "python/three_chain_target/4/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-98, 32, -41, -35, -61, -14, 77, 76, 81, -77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-45, -53, -6, -15, 62, 87, -52, 37, 50, -72].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-72", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-45,-53,-6,-15,62,87,-52,37,50,-72]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-72}]"}
{"id": "python/three_chain_target/4/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 41}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [44, 73, 55, -63, 19, -35, -20, 18, -85, 79].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-85,-63,-35,-20,18,19,44,55,73,79]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-8}]"}
{"id": "python/three_chain_target/4/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 18}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -8.\nDefine task_2_bound_static = 56.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":81},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-7]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-7}]"}
{"id": "python/three_chain_target/4/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 32}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-94, -100, -11, -81, 89, 90, 78, -77, -80, 92].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -3.\nDefine task_2_bound_static = 14.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-26", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":257},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-2,10,-26]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-26}]"}
{"id": "python/three_chain_target/4/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_1:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_1:\n        ans += 1\n        s += k\n        k += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-31, -62, 95, -54, -73, 64, 94, -8, 15, 48].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-73", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":33},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-73,-62,-54,-31,-8,15,48,64,94,95]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-73}]"}
{"id": "python/three_chain_target/4/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-97, 74, -26, -75, 93, -28, 56, 71, -90, -89]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[74,93,93,93,-1,56,71,74,-89,74]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-5,-4,-4,-3,-1,1,3,3,5,6]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-5}]"}
{"id": "python/three_chain_target/4/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 4, "target_native_task_name": "findMin:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [78, 69, 50, 43, 83, -66, -6, 89, 49, -93]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [99, -2, -28, -7, -69, 49, -23, 84, 3, 67].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] > list_3[right]:\n            left = mid + 1\n        elif list_3[mid] < list_3[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-69", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[99,-7,-28,-2,-69,49,-23,84,3,67]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-69}]"}
{"id": "python/three_chain_target/5/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -83}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [-25, 30, 52, 48, -64, -14, 23, -91, 24, -22].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 19.\nDefine task_2_bound_static = 57.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,20,3,21,5,23,9,27,17,35,33,51]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/5/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -21}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [12, -10, -68, 52, -59, -88, 44, -69, -20, 65].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-72, -22, -70, 80, -72, 75, 97, 46, 84, -91].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":65},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-91,-72,-72,46,-70,75,80,84,97,-22]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/5/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-52, -53, 47, 48, 76, -65, 47, 58, 6, 18]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_1):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_1[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [65, 59, -78, -88, -12, -99, 58, 80, -43, -27].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":300},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[65,59,-78,-88,-12,-99,58,80,-43,-27]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/5/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 4}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [30, 8, 16, 46, 92, 50, 59, -42, -82, 72].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[30,8,16,46,92,50,59,-42,-82,72]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,1,2,4,10,1,4,2,1,5]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/5/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [77, 63, 74, -44, 11, -29, -68, 85, -6, -7].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-44, -86, -57, -46, 51, -39, -99, 27, 32, -39].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-46,-86,-57,-44,51,-39,-99,27,32,-39]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/5/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 48}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [32, 43, 88, -55, -54, -68, 8, -99, 75, 79].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -6.\nDefine task_2_bound_static = 45.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-5,37,-215,7,0,42,-210,37,30]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/5/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-85, 31, 61, -80, -71, -51, 11, 95, 45, -72]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [29, -91, 40, 26, 42, -92, 63, -16, 62, -45].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[31,61,95,-71,-51,11,95,-1,61,31]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,58,-31,133,-45,-9,-82,156,-18,121,-14]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/5/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-9, 95, 100, 66, -59, -6, 27, 41, -26, -87]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,4356,3481,36,9025,81,729,1681,676,7569]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,3136,6561,1296,625,6561,841,6561,5776,4761]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/5/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-80, 92, -12, -69, 0, 33, 17, -84, -55, 10]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[92,-1,0,0,33,92,92,-55,10,92]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[10,1,3,3,4,10,10,1,2,10]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/5/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 18}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-20, -57, 25, -58, -35, -69, -53, -86, -89, -42].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [31, 84, 21, -16, -83, -64, -70, 100, -17, -32].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":28},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[21,84,31,-32,-83,-70,-64,100,-17,-16]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/5/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 11}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-30, -2, 7, -88, -68, 63, 7, 90, 26, -28].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [68, -52, 20, -9, -84, -71, -79, -90, 52, 68].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-30,-2,7,-88,-68,63,7,90,26,-28]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[68,52,-90,-79,-71,-84,-9,20,-52,-30,-2,7,-88,-68,63,7,90,26,-28]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/5/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [51, -48, -21, -13, -19, 64, -35, -37, -71, 60]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -67.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    if list_1[0] > k:\n        python_result_1 = k\n        return python_result_1\n    (left, right) = (0, len(list_1))\n    while left < right:\n        mid = left + right >> 1\n        if list_1[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = list_1[left - 1] + k - (list_1[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 18.\nDefine task_2_bound_static = 68.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-67},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,19,-66,-49]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/5/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-87, -90, -21, 17, -29, -73, -14, -16, -13, -92]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_1)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_1[j] - list_1[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_1[j] - list_1[j + 1] + 1)\n            ans[i] += d\n    python_result_1 = min(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-74, 55, -4, 91, 68, 56, -35, 2, -68, -37].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":47},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-74,55,-68,56,68,91,-37,-35,-4,2]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/5/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-34, -68, 23, -12, 64, 73, 6, -84, 25, 87]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[36,5329,4096,144,529,7056,625,4624,1156,7569]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/5/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-36, -45, -18, -51, -4, 63, 95, -69, 87, -32]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_initialEnergy_static = 15.\nDefine task_1_initialExperience_static = 91.\nDefine task_1_experience_static = [0, -83, 61, 65, 93, -66, -9, 28, -15, -56].\nTrace the execution of task_1 with inputs initialEnergy = task_1_initialEnergy_static, initialExperience = task_1_initialExperience_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(initialEnergy: int, initialExperience: int, list_1: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_1)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [44, -26, -16, -87, 87, -51, 60, 1, -64, 100].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":54},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-64,-51,-26,-16,1,44,60,87,100]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/5/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 5, "target_native_task_name": "minimumOperations:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-42, 52, 34, 82, 100, -15, -79, 72, 21, -21]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 18.\nDefine task_2_bound_static = 78.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, j) = (0, len(list_3) - 1)\n    (a, b) = (list_3[i], list_3[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_3[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_3[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_3[i], list_3[j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,19,5,22,17,34,65]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/6/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -44}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [64, 84, -34, -83, -61, -59, -74, 84, -62, -42].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [78, -94, 35, -51, -54, 63, 73, -67, 15, 8].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [27, -7, -66, 46, 99, 92, 75, -82, -1, 23].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":84},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-67,-54,-51,8,15,35,63,73,78]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/6/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -21}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-51, -68, 1, 99, 55, 7, 96, -16, -26, 79].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 26.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [77, 48, -29, -95, 40, -54, 66, -76, 100, 89].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-51,-68,1,99,55,7,96,-16,-26,79]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-68,-51,-26,55,79,-16,96,1,7,99]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/6/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 1}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -73.\nDefine task_1_energy_static = [-55, 88, 58, 86, -59, 26, 99, 94, -100, 85].\nDefine task_1_experience_static = [-2, -77, 51, -24, 80, 53, 94, 26, 50, 54].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -6.\nDefine task_2_bound_static = 25.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-53, -9, 50, 25, -33, 85, -49, -60, 39, 21].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":528},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-5]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/6/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 66}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [-23, -50, -57, 83, -12, -25, 3, -27, -41, 19].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [73, -85, -29, -78, -77, -9, 5, 8, 99, 93].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-34, -30, -99, 74, 48, -12, 12, 46, -30, -42].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[73,-85,-29,-78,-77,-9,5,8,99,93]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/6/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [25, 29, 63, 78, -30, -75, -84, 92, -1, -46]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] >= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [69, 63, 67, -29, -57, 68, -18, -42, 60, 59].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-39, -78, -1, 88, 91, -99, 52, -47, -36, 55].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":19},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[59,60,63,-57,-42,67,-29,-18,68,69]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/6/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -50}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [85, 35, -23, -83, 67, -84, -89, -32, -100, 81].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-43, 3, -87, 77, 21, 91, 77, -75, -59, -69].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[85,35,-23,-83,67,-84,-89,-32,-100,81]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[128,248,260,154,138,121,52,173,205,124]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/6/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-90, -26, -51, 59, 84, 66, 52, -78, 60, 8]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -29.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_1:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [21, -10, -66, -77, 11, 36, 0, 57, -90, -25].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [14, 49, -38, -50, 2, -36, -20, 95, -5, -23].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":345},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-90,-77,-66,-25,-10,0,11,21,36,57]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/6/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 1}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [33, 28, 79, 15, -2, -78, -3, -43, 40, -20].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-28, -58, 41, 90, 45, -34, 5, -15, -20, -50].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [12, 43, -30, 85, 15, 65, -2, 44, 36, 39].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":155},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-58,-50,-34,-28,-20,-15,5,41,45,90]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/6/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [66, 40, -75, -6, -29, -76, 50, 31, 97, -5]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_warehouse_static = [-22, 75, 67, -62, -95, 84, -92, -44, 36, -36].\nTrace the execution of task_1 with inputs warehouse = task_1_warehouse_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_1.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_1):\n        while j >= 0 and left[j] < list_1[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -7.\nDefine task_2_bound_static = 96.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-77, -15, -38, -89, -46, 76, -55, 68, 16, 36].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-6,50,-342,4,-4,52,-340,10,2,58,-334,28,20,76,-316,82,74]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/6/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 61}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [52, 18, 80, 71, 81, -71, 3, -53, -33, -69].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-7, -81, -29, -18, 90, 93, 21, 71, 87, -64].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-69, 52, 89, -57, -68, 45, -66, 48, -60, 71].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":5042},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,-64,-29,-18,71,87,-7,90,93,21]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/6/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-79, -10, -48, 7, -30, -32, -18, 97, -3, 45]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_power_static = 64.\nTrace the execution of task_1 with inputs power = task_1_power_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], power: int) -> int:\n    list_1.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        if power >= list_1[i]:\n            power -= list_1[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_1[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -20.\nDefine task_2_bound_static = 83.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-23, -93, 79, 3, -40, 12, -98, 52, -83, -84].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-19,11,-10]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/6/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 41}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-35, 24, -26, -52, -6, -82, 2, -80, -53, 73].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 3.\nDefine task_2_bound_static = 93.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [40, 32, 57, -93, 13, -97, -47, -11, -62, 26].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":50},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,4,10,28,82,51,53,59,77]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/6/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 51}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-9, 80, 53, 14, 8, -2, -73, 48, -74, 31].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-6, 41, -48, -27, 34, -82, 36, 3, 78, -44].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-9,80,48,14,8,-2,-74,53,-73,31]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/6/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 56}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [62, 2, -24, -66, -56, 44, -73, -40, 29, -38].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-95, -27, -16, 4, 69, 18, 48, 74, -47, 12].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-85, -56, -99, 2, -38, 50, 86, -58, -83, 81].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-73,-66,-56,-40,-38,-24,2,29,44,62]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-168,-93,-72,-37,29,-7,47,101,-4,72]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/6/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-97, -40, 27, 61, -44, 21, 50, 6, 47, 55]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [8, -11, 16, -78, 81, -15, 71, 66, -93, -69].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [33, 71, -81, 5, 89, -86, -74, 26, 29, -83].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-97,-40,27,27,21,21,28,28,47,55]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-69,-93,66,71,-15,81,-78,16,-11,8,-97,-40,27,27,21,21,28,28,47,55]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/6/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 6, "target_native_task_name": "maximumProcessableQueries:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-67, -3, 1, -80, 45, 75, 87, 49, -6, 50]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 3.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    list_1.sort()\n    n = len(list_1)\n    m = n >> 1\n    ans = abs(list_1[m] - k)\n    if list_1[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_1[i] <= k:\n                break\n            ans += list_1[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_1[i] >= k:\n                break\n            ans += k - list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [32, 66, 51, 45, -26, 46, -24, 41, 86, -58].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-70, 30, -22, 19, -14, -23, 18, 73, -99, -74].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_3[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_3[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_3 = m\n                return python_result_3\n    python_result_3 = max((f[i][i] + (list_3[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":42},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[32,41,45,46,-58,51,-26,66,86,-24]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/7/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [77, 34, -91, 9, 44, -82, 17, -18, -83, 63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_1[i]\n        while stk and list_1[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -53.\nDefine task_2_bound_static = 11.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = -97.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,-52]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":77},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-52]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,-52]}]"}
{"id": "python/three_chain_target/7/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 14}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [75, 79, 66, 35, -2, 89, -79, -77, 38, -92].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = 91.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,21,25,25,29,41,41,44,56,64]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[66,75,79,35,-2,89,-92,-79,38,-77]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,1225,7921,8464,6241,1444,6241,5625,4356,5929]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[4,21,25,25,29,41,41,44,56,64]}]"}
{"id": "python/three_chain_target/7/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 84}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-60, 76, -95, -13, 48, -81, 21, -76, -31, 91].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [1, 84, 54, 96, -40, 24, -60, 13, -86, 84].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = 71.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-86,-60,-40,1,13,24,54,84,84,96]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":107},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[1,84,54,96,-40,24,-60,13,-86,84]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-86,-60,-40,1,13,24,54,84,84,96]}]"}
{"id": "python/three_chain_target/7/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -4}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-8, 66, 50, -95, 32, 19, 36, 11, -72, 20].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-93, 30, -24, 13, 87, -46, 42, -88, 26, -67].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = -51.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-93,30,-24,13,87,-46,42,-88,26,-67]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-93,30,-24,13,87,-46,42,-88,26,-67]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-93,30,-24,13,87,-46,42,-88,26,-67]}]"}
{"id": "python/three_chain_target/7/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -46}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-58, -29, 11, -3, -95, -50, -17, 22, 57, 48].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -28.\nDefine task_2_bound_static = 38.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = 21.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,-27]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":57},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-27]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,-27]}]"}
{"id": "python/three_chain_target/7/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 94.\nDefine task_1_energy_static = [86, -2, -70, 92, -14, 49, 34, 12, 42, -45].\nDefine task_1_experience_static = [67, 67, 52, 43, 87, -85, 77, -68, 98, 38].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-45, 31, -2, -20, -38, 24, 78, -24, 16, 16].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = -45.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-45,-38,-24,-20,-2,16,78,16,24,31]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":223},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-45,-38,-24,-20,-2,16,78,16,24,31]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-45,-38,-24,-20,-2,16,78,16,24,31]}]"}
{"id": "python/three_chain_target/7/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 22}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-24, 27, -45, -22, -36, 18, 61, -34, -40, -79].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-41, -97, -89, 51, -26, -8, -67, 63, 2, 100].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = -72.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-97,-89,-67,-41,-26,-8,2,51,63,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":61},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,-89,-67,-41,-26,-8,2,51,63,100]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-97,-89,-67,-41,-26,-8,2,51,63,0]}]"}
{"id": "python/three_chain_target/7/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -59}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-65, -2, -83, 70, 58, 86, 67, -45, 52, 96].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = -45.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,89,0,64,96,89,25,4,25,16]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-65,-2,-83,70,58,86,67,-45,52,96]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,6889,4900,3364,7396,4489,2025,2704,4225,9216]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[4,89,0,64,96,89,25,4,25,16]}]"}
{"id": "python/three_chain_target/7/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [23, -94, 13, 37, 20, 4, 26, 16, 34, 68]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = -27.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[76,69,69,56,36,29,29,24,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[16,400,1369,169,676,256,8836,529,1156,4624]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[76,69,69,56,36,29,29,24,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[76,69,69,56,36,29,29,24,0,0]}]"}
{"id": "python/three_chain_target/7/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -82}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [55, -35, 81, 62, 41, 21, 99, -44, -43, -57].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -92.\nDefine task_2_bound_static = 26.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = -32.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,-91,7,-86]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-91,7,-86]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,-91,7,-86]}]"}
{"id": "python/three_chain_target/7/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 35}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-95, 98, -50, 95, -79, 26, -91, 37, 44, 66].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = 30.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,1,1,3,5,7,8,9,10]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,26,-91,37,-79,44,-50,66,95,98]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,3,1,5,1,7,1,8,9,10]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[1,1,1,1,3,5,7,8,9,10]}]"}
{"id": "python/three_chain_target/7/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -7}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -43.\nDefine task_1_bound_static = 53.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = -23.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,1,2,1,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-42,-6,-50,50,6,-342,-386]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[4,1,2,1,0,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[4,1,2,1,0,0,0,0]}]"}
{"id": "python/three_chain_target/7/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [2, 19, 57, -21, -31, -70, -74, 79, 88, -33]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_1)\n    list_1.sort()\n    idx = {v: i for (i, v) in enumerate(list_1)}\n    f = [1] * n\n    for (i, a) in enumerate(list_1):\n        for j in range(i):\n            b = list_1[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_1 = sum(f) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [82, -30, -22, -91, -15, -1, 85, 73, -44, 87].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = 26.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[73,-44,-30,-91,-22,-15,82,85,-1,87]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[73,-30,-22,-91,-15,-1,82,85,-44,87]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[73,-44,-30,-91,-22,-15,82,85,-1,87]}]"}
{"id": "python/three_chain_target/7/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -37}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-46, -60, -69, -29, 1, -94, -13, -27, -2, 14].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = -9.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[3,2,1,4,9,1,3,1,4,10]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-46,-60,-69,-29,1,-94,-13,-27,-2,14]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,2,1,4,9,1,3,1,4,10]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[3,2,1,4,9,1,3,1,4,10]}]"}
{"id": "python/three_chain_target/7/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -77}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [-30, 74, -69, -6, 27, -70, 46, 91, 47, 38].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 37.\nDefine task_2_bound_static = 74.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = 1.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,38,8,44,50]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,38,8,44,50]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,38,8,44,50]}]"}
{"id": "python/three_chain_target/7/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 7, "target_native_task_name": "lexicographicallySmallestArray:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [45, -32, 5, 49, 52, 43, -7, -75, 58, 76]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-65, 91, 87, 53, -20, -8, -48, -79, 84, 94].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_limit_static = -4.\nTrace the execution of task_3 with inputs limit = task_3_limit_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], limit: int) -> List[int]:\n    n = len(list_3)\n    arr = sorted(zip(list_3, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-65,84,87,53,-20,-8,-48,-79,91,94]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-65,84,87,53,-20,-8,-48,-79,91,94]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-65,84,87,53,-20,-8,-48,-79,91,94]}]"}
{"id": "python/three_chain_target/8/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-36, -24, 65, 86, 75, 61, -72, -29, -85, 9]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [44, -88, -65, 68, -21, 86, 84, 85, -52, 36].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = 64.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    mx = list_2[0]\n    cnt = 0\n    for x in list_2[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [12, 57, 71, 0, 25, 58, 97, 65, -2, 0].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-2,0,0,12,25,57,58,65,71,97]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[36,-52,85,84,86,-21,68,-65,-88,44,-36,-24,65,75,61,-72,-29,-85,9]},{\"node_id\":\"task_2\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":86},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-2,0,0,12,25,57,58,65,71,97]}]"}
{"id": "python/three_chain_target/8/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-82, -90, 64, -81, 61, 68, -76, -25, 0, 37]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    while 1:\n        (t, s, i) = (val_2, 0, 2)\n        while i <= val_2 // i:\n            while val_2 % i == 0:\n                val_2 //= i\n                s += i\n            i += 1\n        if val_2 > 1:\n            s += val_2\n        if s == t:\n            python_result_2 = t\n            return python_result_2\n        val_2 = s\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-6, 1, 76, -59, -32, -99, 16, 99, 68, 78].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-6,1,76,-59,-32,-99,16,99,68,78]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-6,1,76,-59,-32,-99,16,99,68,78]}]"}
{"id": "python/three_chain_target/8/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [28, -57, 18, -83, 96, -77, 41, 23, -38, 74]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -84.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_2)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [58, -73, 97, -26, -48, -13, -87, -70, 15, 87].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-87,-73,-70,-48,-26,-13,15,58,87,97]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[28,-57,18,-83,96,-77,41,23,-38,74]},{\"node_id\":\"task_2\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":96},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-73,-70,-48,-26,-13,15,58,87,97]}]"}
{"id": "python/three_chain_target/8/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-10, 84, -79, 77, 89, 89, 65, 89, -2, 79]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_1 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [59, -18, 29, -36, 92, 97, -85, 32, 9, -90].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_2:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [65, -45, 17, 90, 48, -70, 1, -84, 94, 78].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-84,-70,-45,1,17,48,65,78,90,94]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":17},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":55},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-84,-70,-45,1,17,48,65,78,90,94]}]"}
{"id": "python/three_chain_target/8/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [66, -21, -43, 38, 100, -41, -73, -83, 13, 82]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_2 = sum((f(x) for x in list_2))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-37, -1, 93, -22, 7, 57, -21, 58, -11, -6].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-37,-22,93,-21,-11,57,-6,58,-1,7]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-73,-83,13,82]},{\"node_id\":\"task_2\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":126},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-37,-22,93,-21,-11,57,-6,58,-1,7]}]"}
{"id": "python/three_chain_target/8/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-79, -62, -50, -83, 63, 56, 15, -13, -92, -51].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [13, 84, 60, 48, -10, -24, -67, 71, -8, 99].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_2 = 1\n            return python_result_2\n        if x * y <= val_2:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [93, -28, 25, 28, -86, 33, 95, 11, 89, -64].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[89,-28,25,28,-86,33,93,11,95,-64]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":134},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[89,-28,25,28,-86,33,93,11,95,-64]}]"}
{"id": "python/three_chain_target/8/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-26, -95, 12, -21, -88, -46, 80, -33, -81, -4]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    k = 3\n    n = len(list_1)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_1[i % n] == list_1[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [1, -24, -83, -51, -36, -3, 38, 96, 41, 89].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_2 = 1\n            return python_result_2\n        if x * y <= val_2:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-80, 91, 54, -61, -15, -28, -68, 54, 19, 20].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-80,91,54,-61,-15,-28,-68,54,19,20]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-80,91,54,-61,-15,-28,-68,54,19,20]}]"}
{"id": "python/three_chain_target/8/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-23, -5, 69, 38, -23, 90, 76, 98, 74, -58]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_1):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_1[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_2:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_2:\n        ans += 1\n        s += k\n        k += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-86, -18, -100, -32, 67, -20, 69, 58, -36, -13].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-100,-36,-86,-32,58,-20,67,69,-18,-13]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":445},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":19},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-100,-36,-86,-32,58,-20,67,69,-18,-13]}]"}
{"id": "python/three_chain_target/8/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-27, 67, -6, 86, -82, 70, -25, -72, -68, 62]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 79.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    mx = list_1[0]\n    cnt = 0\n    for x in list_1[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    while 1:\n        (t, s, i) = (val_2, 0, 2)\n        while i <= val_2 // i:\n            while val_2 % i == 0:\n                val_2 //= i\n                s += i\n            i += 1\n        if val_2 > 1:\n            s += val_2\n        if s == t:\n            python_result_2 = t\n            return python_result_2\n        val_2 = s\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [78, 70, 95, -51, 18, -36, -65, -2, -20, 19].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[70,78,95,-51,18,-36,-65,-2,-20,19]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":86},{\"node_id\":\"task_2\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":11},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[70,78,95,-51,18,-36,-65,-2,-20,19]}]"}
{"id": "python/three_chain_target/8/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 27}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-38, 46, 54, -67, 94, 29, 75, -15, -12, 63].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] > list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_2 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_2))) % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [62, 99, -51, 5, -39, -75, 47, 38, -63, -39].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-75,-63,-51,-39,-39,5,38,47,62,99]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-38,29,46,-67,54,63,75,-15,-12,94]},{\"node_id\":\"task_2\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999998374},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-75,-63,-51,-39,-39,5,38,47,62,99]}]"}
{"id": "python/three_chain_target/8/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-40, 85, -1, -46, -91, 79, -4, -71, 36, -66]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_1[i]\n        while stk and list_1[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_2:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_2:\n        ans += 1\n        s += k\n        k += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-70, -72, 72, -19, -37, 15, -82, 76, 86, -15].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-82,-72,72,-37,-19,15,-70,76,86,-15]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":85},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":29},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,-72,72,-37,-19,15,-70,76,86,-15]}]"}
{"id": "python/three_chain_target/8/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [7, 34, 19, 52, -92, -6, 78, 89, -55, 71]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    k = 3\n    n = len(list_2)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_2[i % n] == list_2[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-78, -98, 4, 57, -80, 2, -9, 72, -47, 95].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-80,-98,2,57,-78,4,-9,72,-47,95]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[34,52,52,78,-6,78,89,-1,71,78]},{\"node_id\":\"task_2\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-80,-98,2,57,-78,4,-9,72,-47,95]}]"}
{"id": "python/three_chain_target/8/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-15, -95, -20, -7, -55, 29, -43, -38, -30, 42]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-67, 76, 35, 85, -76, 61, 17, -45, 97, 76].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = -33.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    list_2.sort()\n    n = len(list_2)\n    m = n >> 1\n    ans = abs(list_2[m] - k)\n    if list_2[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_2[i] <= k:\n                break\n            ans += list_2[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_2[i] >= k:\n                break\n            ans += k - list_2[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-7, -34, -25, 31, 88, 22, -45, -75, -47, 87].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-75,-47,-45,-34,-25,-7,22,31,87,88]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-82,-20,12,76,-132,88,-26,-84,64,116]},{\"node_id\":\"task_2\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":66},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-75,-47,-45,-34,-25,-7,22,31,87,88]}]"}
{"id": "python/three_chain_target/8/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -34}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 11.\nDefine task_1_bound_static = 64.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_2[j] < list_2[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [52, 79, 24, 21, 80, -1, 34, 42, 29, -49].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[52,79,24,21,80,-1,34,42,29,-49]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,12,-33,-23]},{\"node_id\":\"task_2\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[52,79,24,21,80,-1,34,42,29,-49]}]"}
{"id": "python/three_chain_target/8/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -29}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [68, -64, 37, -73, 88, -17, 83, 92, 4, -45].\nDefine task_1_passengers_static = [-51, 26, -75, -67, -30, 91, -73, 85, -6, 94].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-41, -59, 54, 80, -17, 21, 96, 82, 74, -32].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_2:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [16, -86, -95, -90, -11, -90, -28, -59, -93, 49].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-95,-93,-90,-90,-86,-59,-28,-11,16,49]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":92},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":64},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-93,-90,-90,-86,-59,-28,-11,16,49]}]"}
{"id": "python/three_chain_target/8/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 8, "target_native_task_name": "lexicographicallySmallestArray:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [20, -49, -67, -93, -58, 25, 42, -45, -24, -18].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = 73.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_2:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_2 = ans % mod\n        return python_result_2\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_2 = ans % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [15, -89, -54, -81, -20, -17, -78, -96, -44, 83].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_3:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-96,-89,-81,-78,-54,-44,-20,-17,15,83]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[20,-49,-67,-93,-58,25,42,-45,-24,-18]},{\"node_id\":\"task_2\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":67},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-96,-89,-81,-78,-54,-44,-20,-17,15,83]}]"}
{"id": "python/three_chain_target/9/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 25}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [59, -77, 78, 75, 93, -62, 56, 49, -94, 83].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[49,-94,56,59,75,-77,78,83,-62,93]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,3,4,6,1,7,9,1,10]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/9/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 68}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-33, 100, -36, -36, -63, 89, 33, -98, -22, 79].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-98,-63,-36,-36,-33,-22,33,79,89,100]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[11,172,271,343,412,467,456,344,176,87]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/9/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [85, -2, 12, -6, -9, 36, 81, 21, -13, -36]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 94.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,144,36,81,1296,6561,441,169,1296,7225]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[4,25,36,41,44,61,69,81,96,96]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/9/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-11, -50, 47, 27, -52, -64, -75, 57, -21, 58]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [38, -26, -2, -45, -63, 60, 8, -28, -52, -50].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":58},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-63,-52,-50,-45,-28,-26,-2,8,38,60]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/9/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [23, -40, 78, 6, 42, -23, -91, 90, -27, 84]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -88.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    (ans, y) = (1, list_1[0])\n    for x in list_1[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [38, -26, 82, -46, 21, 42, -44, -88, -19, -65].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[38,-26,82,-46,21,42,-44,-88,-19,-65]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/9/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [78, -81, 7, -88, 19, -38, 35, 31, 54, 95]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_1) - 1):\n        if list_1[i] == list_1[i + 1]:\n            continue\n        if list_1[i] > list_1[j] and list_1[i] > list_1[i + 1]:\n            ans += 1\n        if list_1[i] < list_1[j] and list_1[i] < list_1[i + 1]:\n            ans += 1\n        j = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 64.\nDefine task_2_bound_static = 62.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8,50]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/9/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [27, -87, -30, 89, -2, -80, -23, -61, 85, -50]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "13", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[3,1,1,0,4,1,2,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-3,-2,-2,-1,1,1,3,4,4,5]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":13}]"}
{"id": "python/three_chain_target/9/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-44, 12, 57, -9, -21, -21, 11, -23, 94, -89]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_1, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_1[i]:\n            right[i] = right[i + 1] + 1\n    python_result_1 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -38.\nDefine task_2_bound_static = 15.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-37,10,-29]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/9/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-45, 10, 17, 66, 31, 29, 35, 76, -16, 88]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-45,10,17,31,31,31,35,35,35,88]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[2,10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/9/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [64, -96, -87, -37, 38, 65, 1, 15, 6, -30]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_1[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-78, -85, 61, -28, -24, 34, -55, 60, -56, 92].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":65},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-85,-78,-56,-55,-28,-24,34,60,61,92]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/9/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-34, 40, -29, -96, 93, 69, 14, -85, -5, -97]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_1 = sum((f(x) for x in list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [23, -100, 15, 4, 45, -36, 48, -52, -71, -68].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":248},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-100,-71,-68,-52,-36,4,15,23,45,48]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/9/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -88}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [8, 56, 83, -60, -90, -17, -39, 25, 100, -62].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [20, -10, 8, 38, -43, 21, 77, 14, 26, -92].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[8,-10,14,38,-43,20,77,21,26,-92]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/9/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 85}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-22, -26, -87, -94, 52, 7, -92, -79, -71, -17].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [89, -22, -23, -40, 99, -75, -65, -36, 13, -98].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":59},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[89,-98,-75,-65,99,-40,-36,-23,-22,13]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/9/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [65, -49, 49, -8, 50, -30, -9, 27, 34, 58]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_trainers_static = [-55, 89, -16, -24, -87, 35, 10, 65, -77, 42].\nTrace the execution of task_1 with inputs trainers = task_1_trainers_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], trainers: List[int]) -> int:\n    list_1.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_1):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_1 = i\n            return python_result_1\n        j += 1\n    python_result_1 = len(list_1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [84, -11, 52, 58, 80, -31, -83, -87, 56, -13].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[80,-13,52,56,84,-31,-87,-83,58,-11]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/9/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 7}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -68.\nDefine task_1_bound_static = 33.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-67,8,-61]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,4489,64,3721]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/9/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 9, "target_native_task_name": "numberOfSubarrays:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -87}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [35, 54, 63, 83, 34, -36, -97, 43, -16, -96].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -68.\nDefine task_2_bound_static = 73.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_3:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-87},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-67,-86,-155]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/10/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -80}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-42, -95, 11, -74, -6, -60, 16, 51, -50, -99].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "116", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-42,-95,11,-74,-6,-60,16,51,-50,-99]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[306,169,85,22,58,124,168,101,100,249]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":116}]"}
{"id": "python/three_chain_target/10/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-81, 13, -22, -58, 73, -92, 99, -7, 22, -83]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "111", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[22,-92,-22,-58,73,13,99,-7,-81,-83]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[158,88,26,106,91,5,107,199,111,53]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":111}]"}
{"id": "python/three_chain_target/10/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [30, -89, -98, -69, 59, 100, 82, -10, -62, 7]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "12", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":12}]"}
{"id": "python/three_chain_target/10/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 90}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [37, -90, 4, -47, -95, 99, -48, 24, 63, 0].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "64", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-90,-48,-47,0,4,24,37,63,99]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-95,-90,-48,-47,0,4,24,37,63,99]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":64}]"}
{"id": "python/three_chain_target/10/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-100, 2, -60, 51, 33, -42, 54, 38, 94, 3]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,1,2,2,1,2,1,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/10/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-31, 53, 92, 79, 50, 68, -94, -98, 99, 48]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (l, r) = (0, len(list_1) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_1[l], list_1[r]) * (r - l)\n        ans = max(ans, t)\n        if list_1[l] < list_1[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [27, -51, -90, 15, 82, -57, -2, 39, 39, -66].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "74", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":552},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-90,-66,-57,-51,-2,15,27,39,39,82]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":74}]"}
{"id": "python/three_chain_target/10/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-13, -55, 44, -8, 38, -3, -13, 13, 6, -81]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,3,5,7,9]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-8,-6,-4,-2,0,2,3,5,7,9]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/10/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [2, 70, -54, -82, -52, 42, -41, 19, -35, 63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [68, -2, -7, -41, 63, 60, 82, -42, 54, 78].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_1), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_1[i]\n            i += 1\n        elif list_1[i] < nums2[j]:\n            f += list_1[i]\n            i += 1\n        elif list_1[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_1[i]\n            i += 1\n            j += 1\n    python_result_1 = max(f, g) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-94, -94, 26, 91, -69, 53, 96, -36, -9, -79].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "305", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":313},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-94,26,91,-79,53,96,-36,-9,-69]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":305}]"}
{"id": "python/three_chain_target/10/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-35, 69, 86, 30, -20, -20, 66, -2, 57, -23]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    g = []\n    for x in list_1:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_1 = len(g)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [48, 48, -17, -6, 17, -40, 18, -66, -86, 94].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "144", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[48,48,-17,-6,17,-40,18,-66,-86,94]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":144}]"}
{"id": "python/three_chain_target/10/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [18, -5, 9, -56, -52, 77, 63, 21, 2, 26]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,441,3969,5929,2704,3136,81,25,324,676]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,1,3,2,1,1,2,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/10/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [87, -49, -12, 83, -27, 6, 53, -81, 68, -36]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[10,1,2,9,1,2,4,1,6,1]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[10,1,2,9,1,2,4,1,6,1]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/10/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 24}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-19, 57, -46, -27, 38, 32, -96, -69, 45, -2].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "12", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-69,32,-46,-27,38,45,-96,-19,57,-2]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":12}]"}
{"id": "python/three_chain_target/10/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [88, 23, -72, 79, 55, 10, 47, 96, -9, 31]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-6, 13, -24, -65, -56, -34, -73, -51, -91, 87].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,79,34,-97,13,1,-24,-27,43,-101,116]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,0,6,1,4,3,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/10/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-62, 77, -66, 65, -60, 10, -81, 70, 20, -65]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,0,1,4,1,2,1,0,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[4,1,1,1,1,0,0,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/10/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [85, -4, -2, -57, -58, 65, 11, -54, 90, 97]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[8,1,4,2,1,7,2,1,9,10]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[8,1,4,2,1,7,2,1,9,10]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/10/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 10, "target_native_task_name": "movesToMakeZigzag:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -53}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [38, 61, 9, -45, -71, 94, 87, -75, -89, 9].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [84, -56, -32, -2, -12, 62, 70, 90, 100, 72].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_3)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_3[j] - list_3[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_3[j] - list_3[j + 1] + 1)\n            ans[i] += d\n    python_result_3 = min(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "175", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-53},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[84,-56,-32,-2,-12,62,70,90,100,72]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":175}]"}
{"id": "python/three_chain_target/11/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -11}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [44, -81, 13, 17, -46, 70, 26, -32, 8, -98].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-43, -89, 79, -88, -5, 60, 65, -78, 41, 54].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[79,65,60,54,41,0,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":64},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-89,-88,-78,-43,-5,41,54,60,65,79]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[79,65,60,54,41,0,0,0,0,0]}]"}
{"id": "python/three_chain_target/11/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 79}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-70, 79, 33, 26, 95, 45, -2, -38, 34, -47].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -99.\nDefine task_2_bound_static = 19.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":89},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-98]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[2,0]}]"}
{"id": "python/three_chain_target/11/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [33, 63, 92, -31, -23, -6, 97, 12, -48, -95]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -41.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[97,92,63,33]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[33,63,92,97]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[33,63,92,97]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[97,92,63,33]}]"}
{"id": "python/three_chain_target/11/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 53}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 70.\nDefine task_1_bound_static = 60.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,54]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,0]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[1,0]}]"}
{"id": "python/three_chain_target/11/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 87}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [60, 1, -14, 52, -99, -83, 99, -9, -26, 60].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[99,60,60,52,1,0,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-83,-26,-14,-9,1,52,60,60,99]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[99,60,60,52,1,0,0,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[99,60,60,52,1,0,0,0,0,0]}]"}
{"id": "python/three_chain_target/11/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 57}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -89.\nDefine task_2_bound_static = 41.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":57},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-88]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[2,0]}]"}
{"id": "python/three_chain_target/11/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [100, -50, 10, 94, 12, -35, 73, -52, 33, -79]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,10,10,10,3,3,2,2,2,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[0,0,10,12,12,12,12,-9,-10,-79]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,2,3,10,10,10,10,3,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[10,10,10,10,3,3,2,2,2,1]}]"}
{"id": "python/three_chain_target/11/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-45, -87, -53, -11, 32, -62, -26, -30, 9, -28]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [79, -48, 29, 88, 11, -51, 92, 68, 57, -19].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[72,70,37,37,9,0,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,32,-135,-25,74,41,-114,63,35,64,-47]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[172,170,137,140,200,151,36,9,40,138]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[72,70,37,37,9,0,0,0,0,0]}]"}
{"id": "python/three_chain_target/11/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -5}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [96, 65, -32, -60, -33, 53, 2, 40, 88, 77].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    list_2.sort()\n    n = len(list_2)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_2[i] % list_2[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_2[k] % list_2[i] == 0 and f[i] == m:\n            ans.append(list_2[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[40,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[96,65,-32,-60,-33,53,2,40,88,77]},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[40,2]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[40,2]}]"}
{"id": "python/three_chain_target/11/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [31, -69, -47, -71, -53, -83, -95, 93, 17, 0]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[49,4,1,1,1,1,1,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[7,1,5,1,3,2,1,0,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,0,0,1,4,9,1,25,1,49]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[49,4,1,1,1,1,1,0,0,0]}]"}
{"id": "python/three_chain_target/11/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [65, -7, -51, -31, -45, -70, 87, 8, 68, 13]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[6,1,1,1,1,1,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[6,5,1,3,2,1,0,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[6,0,0,0,2,1,3,1,1,5]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[6,1,1,1,1,1,0,0,0,0]}]"}
{"id": "python/three_chain_target/11/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-56, 80, 44, 29, -21, -30, 36, 14, 82, -93]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[6,4,3,3,2,1,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-56,44,44,29,-21,-21,25,25,25,-93]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-4,-3,-2,0,1,2,3,3,4,6]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[6,4,3,3,2,1,0,0,0,0]}]"}
{"id": "python/three_chain_target/11/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -14}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 23.\nDefine task_1_bound_static = 83.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,24,-13,9]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[4,3,2]}]"}
{"id": "python/three_chain_target/11/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [95, 55, -62, 37, 10, 57, 37, 67, 30, 13]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -9.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[95,37,37,30,13,10,10,10]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[95,55,-62,37,10,57,37,67,30,13]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[95,37,10,57,37,67,30,13]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[95,37,37,30,13,10,10,10]}]"}
{"id": "python/three_chain_target/11/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-97, 81, 13, -30, -10, -22, 78, 54, 91, -14]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_1)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_1[i] - list_1[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 64.\nDefine task_2_bound_static = 22.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,4,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,4,10]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[10,4,2]}]"}
{"id": "python/three_chain_target/11/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 11, "target_native_task_name": "findMaximums:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -12}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 60.\nDefine task_1_bound_static = 53.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 81.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_3[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[48,2,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-11,48]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-11,2,48]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[48,2,0]}]"}
{"id": "python/three_chain_target/12/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -70}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-20, -46, -83, -10, 48, -36, 19, 69, 54, -35].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [39, 83, 13, 28, 24, 93, -41, -52, 90, 55].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-20,-46,-83,-10,48,-36,19,69,54,-35]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,16,35,-71,15,69,55,-23,14,141,18]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/12/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-19, 37, 0, -32, -73, 77, -86, 99, -28, -85]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [73, 33, 66, 41, 19, -90, 57, -98, -96, 76].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-19,0,0,-32,-32,-5,-4,-4,-28,-85]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,51,30,63,7,-13,-96,51,-102,-124,-9]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/12/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-23, 49, 44, 92, 32, -47, 91, -59, 49, 12].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-26},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-23,49,44,92,32,-47,91,-59,49,12]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/12/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-84, 51, -76, 1, 92, -22, -46, -16, -61, -75]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 64.\nDefine task_2_bound_static = 84.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-393},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,65,-92,-29]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/12/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -11}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [-54, 51, 23, 0, 99, 64, -80, 51, 11, -82].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -32.\nDefine task_2_bound_static = 63.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-31,10,-23]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/12/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -79}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [73, 97, 55, -26, 15, 14, 25, -88, 2, -23].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[73,97,55,-26,15,14,25,-88,2,-23]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[73,73,55,14,14,15,15,-23,-23,-23]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/12/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 93}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [47, -13, -61, -39, -41, -55, -34, -35, 44, -8].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-61,-55,-41,-39,-35,-34,-13,-8,44,47]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[64,169,1156,1225,1521,1681,1936,2209,3025,3721]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/12/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -36}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-100, 7, 36, -73, 37, -54, -64, 5, -26, 54].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-100,7,36,-73,37,-54,-64,5,-26,54]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[0,7,7,-18,-18,-54,-54,-11,-10,54]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/12/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 46}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 8.\nDefine task_1_energy_static = [30, 5, 81, -9, 12, -94, -4, 98, 18, -24].\nDefine task_1_experience_static = [64, 63, 71, 81, 2, 1, 73, 90, 97, 63].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -23.\nDefine task_2_bound_static = 43.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":125},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-22,26,2]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/12/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-98, -87, -50, -66, -6, -12, -5, 43, 29, -10]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] >= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [58, -37, -91, 52, 30, 89, -49, -9, 89, -31].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":39},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-49,-37,-91,-31,-9,30,52,58,89,89]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/12/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -100}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-81, 34, 52, 98, -92, 64, 89, 62, -2, 94].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,34,52,98,-92,64,89,62,-2,94]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[34,52,98,-1,64,89,94,94,94,98]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/12/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 64}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_1:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_1:\n        ans += 1\n        s += k\n        k += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [53, 82, -44, -33, -69, 25, 24, -5, -95, 39].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":25},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[24,82,-69,-44,-33,25,39,-5,-95,53]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/12/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-34, -28, -77, 98, 46, 68, -52, -67, 34, 30]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -55.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-34,-28,-77,98,46,68,-52,-67,34,30]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[52,114,219,198,54,60,76,43,76,12]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/12/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [15, 31, -50, -32, 24, -65, 11, 93, 31, 85]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (left, right) = (0, len(list_1) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_1[mid] > list_1[right]:\n            left = mid + 1\n        elif list_1[mid] < list_1[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_1 = list_1[left]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [40, 17, 100, 50, 54, -56, -69, -79, 97, -69].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-50},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[40,17,100,50,54,-56,-69,-79,97,-69]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/12/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 24}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [-84, 33, -30, -85, -30, 3, -83, 10, 68, -98].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -98.\nDefine task_2_bound_static = 54.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-97,11,-88]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/12/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 12, "target_native_task_name": "countHillValley:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 8}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-58, -54, 36, 19, -83, 88, -54, -57, 7, 13].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -91.\nDefine task_2_bound_static = 82.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_3) - 1):\n        if list_3[i] == list_3[i + 1]:\n            continue\n        if list_3[i] > list_3[j] and list_3[i] > list_3[i + 1]:\n            ans += 1\n        if list_3[i] < list_3[j] and list_3[i] < list_3[i + 1]:\n            ans += 1\n        j = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-90,11,-81]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/13/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 7}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-87, -16, 65, -84, 23, 76, 74, -91, 85, -67].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-25, 25, -88, -55, 20, 6, 90, 59, 68, 74].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-91,-16,65,-87,23,74,76,-84,85,-67]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/13/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-83, -57, 37, -60, -93, -79, -85, -20, 65, 48]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 96.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    mx = list_1[0]\n    cnt = 0\n    for x in list_1[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [78, 24, -67, -95, -87, 93, 55, -61, 10, -22].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-31, 22, 11, 65, 79, 76, 83, 22, 12, -9].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":65},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-87,-67,-61,-22,10,24,55,78,93]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/13/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -21}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 86.\nDefine task_1_bound_static = 94.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-42, -50, 27, -9, 72, 26, -29, -83, 1, -84].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,87,-20,65]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/13/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [22, -5, -62, -91, -14, -15, -88, -88, -19, 25]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [43, -5, 68, 85, -68, -33, 96, -50, -76, 65].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-72, 45, 70, 93, 27, -96, -41, -13, -41, -96].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[65,-76,-50,96,-33,-68,85,68,-5,43,22,-62,-91,-14,-15,-88,-88,-19,25]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,1,1,2,2,1,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/13/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -36}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [50, 17, -9, 72, 6, 7, -91, -78, -48, 51].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -46.\nDefine task_2_bound_static = 79.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-4, 33, -78, -87, -73, 24, 7, 38, 38, -88].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":72},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-45,73,26]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/13/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -30}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [32, -64, -75, 100, -68, 81, 1, 4, 86, 65].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-80, 9, 95, 12, 65, 35, 52, -64, -47, 94].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [8, -93, 48, 99, -4, -22, -86, 54, -77, -27].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-80,9,94,12,65,35,52,-64,-47,95]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/13/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 42}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 71.\nDefine task_1_energy_static = [13, -97, -36, -83, -35, 35, 55, -59, -71, -31].\nDefine task_1_experience_static = [-88, 61, 32, 11, -39, 52, 8, 94, 89, -73].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [61, -4, 76, -53, -45, 17, -40, -33, -87, -1].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [75, 15, 1, -55, -87, 99, 1, 85, -53, -23].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":79},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-53,-45,-40,-33,-4,-1,17,61,76]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/13/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -86}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [64, -49, 52, 29, 56, -2, -18, 66, -89, 74].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [77, -92, -20, -40, -84, -48, -89, 29, -67, 83].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [6, -78, 59, -42, 22, -56, 68, 87, 85, 59].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":442},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[77,-92,-89,-84,-67,-48,-40,29,-20,83]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/13/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 79}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -2.\nDefine task_1_bound_static = 10.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [30, -24, 71, 47, 74, 88, 54, -57, 35, 85].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-1,5,-7]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[3,4,8,6]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/13/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-14, -17, -23, 2, -81, -63, 55, 82, 47, 66]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_1[0] > 0)\n    g[0] = int(list_1[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_1[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_1[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-54, 53, 10, -15, 57, 80, -56, 93, -95, 60].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [53, -5, -13, -27, -11, -77, -58, -13, 84, -24].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-56,53,10,-15,57,80,-54,93,-95,60]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/13/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [55, 28, 24, 13, 83, 91, -12, -39, -62, -65]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [85, 79, -37, -56, 99, 94, -76, 22, -78, 80].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_1), sum(nums2))\n    python_result_1 = max(s2 + f(list_1, nums2), s1 + f(nums2, list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-17, -57, -16, 7, -45, 75, 44, -6, 68, 96].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [90, -75, -74, 63, -36, -76, -71, -3, -31, 77].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":387},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-57,-45,-17,-16,-6,7,44,68,75,96]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/13/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [53, -8, -89, 5, 14, 7, -69, 90, 2, -88]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [34, 10, 87, -8, -19, 25, -66, 65, 32, 31].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [26, -62, 63, 40, 62, -27, 8, -95, 54, 13].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[31,32,65,-66,25,-19,-8,87,10,34,53,-89,5,14,7,-69,90,2,-88]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[64,7569,100,361,625,4356,4225,1024,961,1156]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/13/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-3, 40, -25, 92, -5, -20, -71, -86, -43, 87]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 80.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-55, -53, -94, -25, 26, -72, 64, -11, 100, 10].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-86,-71,-43,-25,-20,-5,-3,40,87,92]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[52,209,323,391,436,461,469,432,305,126]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/13/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [60, -26, -13, -5, 38, 60, 15, 70, -30, -37].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [20, 77, -51, -56, 42, -48, -86, 10, 58, 35].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-37,-30,-26,-13,-5,15,38,60,60,70]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-30,-26,-13,-5,15,38,60,70,70,-1]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/13/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 2}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [67, 93, -63, 90, 50, -29, 53, -4, -80, 52].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 65.\nDefine task_2_bound_static = 59.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-13, -87, 41, 69, -96, -38, -55, -82, 40, 5].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8,50]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/13/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 13, "target_native_task_name": "minOperations:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -68}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 56.\nDefine task_1_bound_static = 71.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-15, 61, -84, -17, -41, -16, -86, 56, -62, 11].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_3), sum(nums2))\n    if s1 == s2:\n        python_result_3 = 0\n        return python_result_3\n    if s1 > s2:\n        python_result_3 = task_3(nums2, list_3)\n        return python_result_3\n    arr = [6 - v for v in list_3] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_3 = i\n            return python_result_3\n    python_result_3 = -1\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,57,-67,-12]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[57,2,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/14/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [0, -92, 85, 91, 76, 48, 39, 34, 0, 98]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_1[j] * (j - i)\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-81, 50, -63, 22, 20, 88, -69, 85, -19, 64].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "88", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":882},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,-69,-63,-19,20,22,50,64,85,88]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":88}]"}
{"id": "python/three_chain_target/14/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 47}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 18.\nDefine task_1_bound_static = 99.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "67", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,19,48,65]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[2,19,48,65]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":67}]"}
{"id": "python/three_chain_target/14/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [22, -16, 56, 97, 90, -68, -86, -29, 90, -56]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [71, 67, 61, 43, -30, 21, 48, 81, -5, 53].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "104", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,90,48,114,137,58,-47,-39,49,83,-3]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[90,48,14,14,14,1,1,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":104}]"}
{"id": "python/three_chain_target/14/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-50, -23, -69, 14, 21, -28, 6, -45, -2, -99]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_power_static = 64.\nTrace the execution of task_1 with inputs power = task_1_power_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], power: int) -> int:\n    list_1.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        if power >= list_1[i]:\n            power -= list_1[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_1[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -27.\nDefine task_2_bound_static = 20.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-26,11,-17]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/14/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [26, 26, -66, -75, 64, 62, -66, 74, -25, 61]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "138", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[64,64,64,64,74,74,74,-1,61,64]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[74,74,74,64,64,64,64,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":138}]"}
{"id": "python/three_chain_target/14/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [53, 68, 0, 95, 82, -89, -53, 25, -63, -79]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "95", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[53,68,95]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[53,68,95]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":95}]"}
{"id": "python/three_chain_target/14/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-60, 41, 40, -54, -70, -32, 81, 2, -33, -43]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "142", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-60,40,40,-54,-54,-32,2,2,-33,-43]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,4,1024,1089,2916,2916,1600,1600,1849,3600]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":142}]"}
{"id": "python/three_chain_target/14/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -45}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [56, -31, 61, 94, -21, 75, 4, -2, 18, -87].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [11, 79, -53, 20, -40, -63, 45, -76, -7, 86].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "210", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[56,-31,61,94,-21,75,4,-2,18,-87]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[86,-7,-76,45,-63,-40,20,-53,79,11,56,-31,61,94,-21,75,4,-2,18,-87]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":210}]"}
{"id": "python/three_chain_target/14/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -97}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 7.\nDefine task_1_bound_static = 9.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8,-96,-90,-48]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,5,1,2,3]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/14/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-84, 8, -28, 20, -43, 83, 23, 42, 37, 29].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-84,-43,-28,8,20,23,29,37,42,83]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/14/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 64}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-98, -84, 81, 29, -99, -92, 13, 5, 85, 6].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-90, 76, 25, -66, 70, 19, 31, 70, 92, -14].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "92", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":144},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-90,-14,19,-66,25,31,70,70,76,92]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":92}]"}
{"id": "python/three_chain_target/14/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -4}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [-77, -45, -64, -36, -69, 84, -80, -64, -78, -56].\nDefine task_1_passengers_static = [51, -76, 68, 25, -19, -71, -65, 98, 51, 4].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [30, -53, 30, -9, -4, 7, -86, 6, 57, 76].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "76", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":84},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,-53,-9,-4,6,7,30,30,57,76]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":76}]"}
{"id": "python/three_chain_target/14/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [8, 77, -27, -49, -63, -26, 20, 59, 33, 19]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_1)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_1[i] - list_1[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [8, 16, 92, 61, -69, -40, 70, -9, 60, -88].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "129", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[8,16,92,60,-69,-40,70,-9,61,-88]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":129}]"}
{"id": "python/three_chain_target/14/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -28}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [-86, 45, -90, 80, -85, -74, -63, 1, -89, 6].\nDefine task_1_runningCost_static = -15.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 43.\nDefine task_2_bound_static = 69.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "54", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,44,10,52]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":54}]"}
{"id": "python/three_chain_target/14/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 90}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [67, -92, -63, 34, 32, -49, 93, -47, 65, 65].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "99", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-92,-63,-49,-47,32,34,65,65,67,93]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-92,34,32,-47,-49,-63,65,65,67,93]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":99}]"}
{"id": "python/three_chain_target/14/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 14, "target_native_task_name": "maximumSum:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-51, 99, -69, -62, -33, 18, -41, 65, -91, -69]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_3[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "145", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-51,-51,-62,-62,-33,-12,-11,-11,-69,-69]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[380,278,165,41,54,99,122,144,224,362]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":145}]"}
{"id": "python/three_chain_target/15/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 75}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [32, 6, 100, 17, -4, 19, -96, 97, 95, 30].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [98, 54, -47, 60, 83, -55, -8, -17, 21, -8].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-4,6,17,19,30,32,-96,95,97,100]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,91,58,-31,76,111,-23,-105,75,116,-8]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":19}]"}
{"id": "python/three_chain_target/15/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -85}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -6.\nDefine task_1_bound_static = 73.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "36", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-5,37,-215,-84,-91,-49,-301]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-6,-4,-2,0,2,4,6,8]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":36}]"}
{"id": "python/three_chain_target/15/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 3.\nDefine task_1_bound_static = 72.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    list_2.sort()\n    n = len(list_2)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_2[i] % list_2[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_2[k] % list_2[i] == 0 and f[i] == m:\n            ans.append(list_2[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,4,10,28,39,41,47,65]},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[28,4,2]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/15/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [35, -11, -74, -24, 25, 50, 68, 67, -95, 45]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [17, -33, -51, -98, 29, 13, 58, -83, 12, -23].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-61, -30, 66, 74, 28, 31, 97, -38, 9, -83].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "20", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,50,-44,-125,-123,51,60,124,-16,-84,20]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-60,-30,113,27,0,5,145,19,31,-99]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":20}]"}
{"id": "python/three_chain_target/15/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 48}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [98, -23, -63, -57, -30, 4, 71, -7, -49, -87].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 70.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "55", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[71,-87,-63,-57,-49,-30,98,-23,-7,4]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-87,-63,-57,-49,-30,-23,-7,4,71,98]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":55}]"}
{"id": "python/three_chain_target/15/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-51, -8, -79, 54, -80, 60, 94, 74, -72, 63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [79, -23, -87, 95, -24, -28, -22, 67, 84, 12].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[64,2601,6241,2916,6400,3600,8836,5476,5184,3969]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,141,-22,-47,109,-24,-29,11,140,165,79]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":19}]"}
{"id": "python/three_chain_target/15/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -22}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -82.\nDefine task_1_bound_static = 37.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-81,-21,-104]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-2,0,2,4]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/15/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-23, -88, -59, -2, 100, 8, -47, 89, 41, -3]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 67.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -44.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "55", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-88,-59,-47,-23,-3,-2,0,8,41,89]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-88,-59,-47,-23,-3,-2,0,8,41,89]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":55}]"}
{"id": "python/three_chain_target/15/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [56, 86, 79, -54, 74, -68, -95, -58, 17, -67]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "16", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[289,3364,9025,4624,5476,2916,6241,7396,3136,4489]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[36,64,96,24,76,16,41,25,89,89]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":16}]"}
{"id": "python/three_chain_target/15/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [33, 35, 96, 83, -38, 92, -94, 42, 13, 6]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_1):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 58.\nDefine task_2_bound_static = 36.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,11]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/15/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [33, -83, -46, -19, -94, 76, -95, -62, 76, 81]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [15, 27, -59, 16, -35, -4, 19, 22, -10, 62].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_1[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_1[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_1 = m\n                return python_result_1\n    python_result_1 = max((f[i][i] + (list_1[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [17, 93, -71, 17, 95, 48, 33, -62, -37, -52].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[17,93,-71,17,95,48,33,-62,-37,-52]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":19}]"}
{"id": "python/three_chain_target/15/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-35, 73, -52, -90, -43, -63, 9, -60, -59, 53]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "15", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-35,-35,-52,-53,-53,-53,-53,-59,-59,53]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-35,-35,-52,-53,-53,-53,-53,-59,-59,53]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":15}]"}
{"id": "python/three_chain_target/15/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -52}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 95.\nDefine task_1_bound_static = 36.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-51]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/15/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [22, -72, 17, 80, 69, 78, 14, 75, 1, 64]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    list_1.sort()\n    n = len(list_1)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[i] % list_1[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_1[k] % list_1[i] == 0 and f[i] == m:\n            ans.append(list_1[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[14,1]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[14,1]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/15/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -60.\nDefine task_1_bound_static = 10.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-59,-77,-138]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,3481,5929,1444]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/15/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 15, "target_native_task_name": "candy:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [32, -35, -90, 50, -24, -25, -16, 65, 24, -20]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    list_1.sort()\n    n = len(list_1)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[i] % list_1[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_1[k] % list_1[i] == 0 and f[i] == m:\n            ans.append(list_1[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[24,-24]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/16/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -54}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [65, -83, -49, 10, -42, 15, -80, -66, -73, 85].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-89, -21, 66, 22, -37, 6, 74, 67, 95, 67].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[67,95,65]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[65,-83,-49,10,-42,15,-80,-66,-73,85]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[67,95,74,6,-37,22,66,-21,-89,65,-83,-49,10,-42,15,-80,-66,-73,85]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[67,95,65]}]"}
{"id": "python/three_chain_target/16/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -72}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -13.\nDefine task_1_energy_static = [-58, -100, 64, -61, -81, -25, -51, 4, -43, 97].\nDefine task_1_experience_static = [-99, 56, 38, -91, -3, -11, -99, -16, 32, -83].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-9, -80, -27, 85, -26, -13, -48, 29, -75, 85].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-80,-75,-48,-27,-26,-13,-9,29,85,85]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":271},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-80,-75,-48,-27,-26,-13,-9,29,85,85]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-80,-75,-48,-27,-26,-13,-9,29,85,85]}]"}
{"id": "python/three_chain_target/16/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-9, -85, -61, 48, -49, -95, 94, 41, 97, -11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -98.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[21,73,19,32,33,77,78,43,5,19]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[21,73,219,232,233,377,378,243,105,19]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[21,73,19,32,33,77,78,43,5,19]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[21,73,19,32,33,77,78,43,5,19]}]"}
{"id": "python/three_chain_target/16/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -95}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 42.\nDefine task_1_bound_static = 95.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-94,-53]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,43,-94,-53]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-94,-53]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-94,-53]}]"}
{"id": "python/three_chain_target/16/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [84, -65, -93, 62, 33, -57, -44, -40, -43, -27]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_1)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_1[j] - list_1[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_1[j] - list_1[j + 1] + 1)\n            ans[i] += d\n    python_result_1 = min(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 1.\nDefine task_2_bound_static = 27.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,8]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":207},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[2,8]}]"}
{"id": "python/three_chain_target/16/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-72, -20, 42, -47, -35, -39, 78, 38, 1, -80]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,44,84,21,25,9,64,84]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,1444,6084,1521,1225,2209,1764,400,5184,6400]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[1,44,84,21,25,9,64,84]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[1,44,84,21,25,9,64,84]}]"}
{"id": "python/three_chain_target/16/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -84}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-3, -89, -53, 31, -4, -67, -54, -25, 99, -35].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -51.\nDefine task_2_bound_static = 72.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-50,-41]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-50,11,-41]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-50,-41]}]"}
{"id": "python/three_chain_target/16/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -24}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [-51, -70, -89, -92, 89, -86, 97, -35, -4, -35].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-73, -55, 22, -30, 68, -9, 93, -2, -7, -48].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-73,-55,-30,68,93]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-73,-55,22,-30,68,-9,93,-7,-2,-48]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-73,-55,-30,68,93]}]"}
{"id": "python/three_chain_target/16/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 59}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-24, -96, -97, -14, -35, -13, 19, 36, -79, -53].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-97,-96,-79,-53,-35,-24,-14,-13,19,36]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":95},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,-96,-79,-53,-35,-24,-14,-13,19,36]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-97,-96,-79,-53,-35,-24,-14,-13,19,36]}]"}
{"id": "python/three_chain_target/16/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -1}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-97, 10, -72, 73, 72, -13, -36, -81, -48, 74].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-8,-6,-4,-2,0,2,4,6,8,10]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,10,-72,73,72,-13,-36,-81,-48,74]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]}]"}
{"id": "python/three_chain_target/16/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [79, -42, 97, 9, -37, 80, -10, 64, -90, 20]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [33, -35, -22, -16, -85, -99, -52, -35, 60, -36].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-36,-22,-16,-85,-99,-52,-35,60]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[33,-36,-22,-16,-85,-99,-52,-35,60,-35]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-36,-22,-16,-85,-99,-52,-35,60]}]"}
{"id": "python/three_chain_target/16/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 49}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-88, -6, -71, -58, -41, 68, 23, -21, -79, -9].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [19, -93, 93, 32, 37, -18, -67, 36, -49, -32].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-32,-49,-67,-18,37,32,19]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-88,-79,-71,-58,-41,-21,-9,-6,23,68]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-32,-49,36,-67,-18,37,32,93,-93,19,-88,-79,-71,-58,-41,-21,-9,-6,23,68]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-32,-49,-67,-18,37,32,19]}]"}
{"id": "python/three_chain_target/16/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-80, 70, -34, -95, 48, -4, -56, -16, -62, -53]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [78, -88, 3, 26, -82, 55, -13, 8, 16, -8].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-90,48,72,76]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[70,-1,48,48,70,70,-16,70,-53,70]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,146,-90,48,72,-13,123,-30,76,-38,60]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-90,48,72,76]}]"}
{"id": "python/three_chain_target/16/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-93, -87, 25, 97, -11, 24, -14, 43, 54, 76]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_1) - 1):\n        if list_1[i] == list_1[i + 1]:\n            continue\n        if list_1[i] > list_1[j] and list_1[i] > list_1[i + 1]:\n            ans += 1\n        if list_1[i] < list_1[j] and list_1[i] < list_1[i + 1]:\n            ans += 1\n        j = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -93.\nDefine task_2_bound_static = 76.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-92,-89,-77,65]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-92,5,-89,17,-77,65,-29]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-92,-89,-77,65]}]"}
{"id": "python/three_chain_target/16/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -2}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [21, 57, -23, 5, 72, 44, -38, -39, -19, 18].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[21,57,5,72,44,18]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[21,57,-23,5,72,44,-38,-39,-19,18]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[21,57,5,72,44,18]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[21,57,5,72,44,18]}]"}
{"id": "python/three_chain_target/16/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 16, "target_native_task_name": "asteroidCollision:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-22, 11, -59, 94, 46, 48, -18, 60, 44, -61]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 8.\nDefine task_2_bound_static = 71.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    for x in list_3:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_3 = stk\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,9,65,5,12,68,17,24,65]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,9,65,5,12,68,17,24,65]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[2,9,65,5,12,68,17,24,65]}]"}
{"id": "python/three_chain_target/17/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-23, -82, 18, 32, 43, -7, -67, -35, 65, 79].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [79, -73, -14, -59, -65, 96, -95, 13, 98, -96].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,-67,-35,-23,-7,18,32,43,65,79]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-3,-140,-49,-82,-73,112,-64,53,161,-17]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/17/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [20, -67, -99, 15, -60, 67, -31, 97, 4, -64]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -100.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_1:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-91, 79, 79, -24, -23, 31, -84, -88, -60, 13].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":137},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-91,79,79,-88,-84,-60,-24,-23,13,31]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/17/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-24, -26, 72, 1, 87, 62, -74, 37, 31, 72]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 77.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    list_1.sort()\n    n = len(list_1)\n    m = n >> 1\n    ans = abs(list_1[m] - k)\n    if list_1[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_1[i] <= k:\n                break\n            ans += list_1[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_1[i] >= k:\n                break\n            ans += k - list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 12.\nDefine task_2_bound_static = 68.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":65},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,13,66]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/17/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-99, -59, 66, 13, 67, -25, -12, 47, 45, 74].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-26, 32, 57, -12, 33, 97, -80, 39, 72, -74].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":74},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-80,-74,-26,-12,32,33,39,57,72,97]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/17/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [77, -93, 87, -58, 3, -42, 99, 81, 21, -67]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_1[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [30, 6, -32, -74, 89, -64, -37, -93, -51, 97].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":99},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-93,-74,-64,-51,-37,-32,6,30,89,97]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/17/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 66}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 75.\nDefine task_1_bound_static = 81.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,76,67]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-1,1,3]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/17/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [52, -53, -70, -61, -69, -61, 15, 84, 50, -31]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[52,50,-70,84,-69,-61,15,-61,-53,-31]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,2,1,10,1,2,6,1,2,3]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/17/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -8}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-19, -43, 10, -82, -13, 42, 12, -90, 78, -17].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-8},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-19,-43,10,-82,-13,42,12,-90,78,-17]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/17/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [52, -97, -56, 74, -35, -72, -28, 27, 12, 98]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_1):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -44.\nDefine task_2_bound_static = 83.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-43,8,-37,50,5]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/17/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-19, 44, -41, -41, -32, -60, 5, 75, 37, 50].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-86, 81, -42, 6, -99, -45, 22, 58, -14, -77].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,81,-45,6,-99,-42,22,58,-14,-77]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/17/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-27, 9, -43, -26, 49, -17, 97, 82, -78, 15]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_1[0] > 0)\n    g[0] = int(list_1[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_1[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_1[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-93, -14, 9, -76, 18, 42, -52, -84, -88, -44].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-93,-14,9,-88,18,42,-52,-84,-76,-44]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/17/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -93}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-45, 1, -67, -21, 0, 96, 89, 21, 60, -53].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [30, -47, 40, 49, 25, -89, 16, 13, 95, 22].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-45,1,-67,-21,0,96,89,21,60,-53]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[22,95,13,16,-89,25,49,40,-47,30,-45,1,-67,-21,0,96,89,21,60,-53]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/17/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 12}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [5, -74, -24, -14, -51, -44, 37, -52, -86, -97].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-23, -91, 3, -49, 9, 86, -9, 17, -59, 70].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":37},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-91,-59,-49,-23,-9,70,3,9,17,86]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/17/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [34, 36, -19, -41, 93, 11, 25, -88, -77, -72]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[34,34,-19,-19,18,18,18,-77,-77,-72]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[10,10,2,2,8,8,8,2,2,3]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/17/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -39}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -95.\nDefine task_1_bound_static = 36.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-94,-38,-134]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[0,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/17/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 17, "target_native_task_name": "maxWidthRamp:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -27}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [87, -12, 7, -8, 61, 23, 48, -67, 96, 19].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -29.\nDefine task_2_bound_static = 20.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_3):\n        if not stk or list_3[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_3) - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-28,7,-23]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/18/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -13}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -61.\nDefine task_1_bound_static = 66.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [84, -6, -87, -32, 75, -92, 39, -42, 55, -19].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,1,-6,-33,-33,-10,-10,-3,-3]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-60,-12,-74]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,82,-6,-87,-33,73,-93,39,-103,41,-93]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[1,1,1,-6,-33,-33,-10,-10,-3,-3]}]"}
{"id": "python/three_chain_target/18/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-6, -38, 87, 70, -25, -63, 13, 5, -82, 79]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    list_2.sort()\n    n = len(list_2)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_2[i] % list_2[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_2[k] % list_2[i] == 0 and f[i] == m:\n            ans.append(list_2[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[70,5]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-6,-38,-82,70,-25,-63,13,5,87,79]},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[70,5]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[70,5]}]"}
{"id": "python/three_chain_target/18/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -11}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [67, -90, 97, 63, 51, 0, 23, -84, 38, 9].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-8,-6,-4,-2,0,2,4,6,8,10]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[67,-90,97,63,51,0,23,-84,38,9]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]}]"}
{"id": "python/three_chain_target/18/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -55.\nDefine task_1_bound_static = 31.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-1,-1,2,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-54,-37,-93]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,-37,2,2]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-1,-1,2,2]}]"}
{"id": "python/three_chain_target/18/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [35, 67, -40, 25, 61, 12, -100, 75, 87, 71]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -99.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[35,43,43,43,43,75,75,71]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[35,67,25,61,12,75,87,71]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[35,67,25,61,12,75,87,71]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[35,43,43,43,43,75,75,71]}]"}
{"id": "python/three_chain_target/18/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-18, -86, 40, -10, 15, 28, -58, -93, 41, 94]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -39.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    if list_1[0] > k:\n        python_result_1 = k\n        return python_result_1\n    (left, right) = (0, len(list_1))\n    while left < right:\n        mid = left + right >> 1\n        if list_1[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = list_1[left - 1] + k - (list_1[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -12.\nDefine task_2_bound_static = 42.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,-11,-38,-51]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-39},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-11,-38,-51]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[2,-11,-38,-51]}]"}
{"id": "python/three_chain_target/18/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 12}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-27, 45, 23, 97, -25, 47, -82, -50, 16, -100].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,2,2,4,4,3,2,2,2,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-27,45,16,97,-25,47,-82,-50,23,-100]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,3,1,10,1,6,1,2,4,1]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[1,2,2,4,4,3,2,2,2,1]}]"}
{"id": "python/three_chain_target/18/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-85, 38, -74, 17, 73, -10, 76, 72, 54, 10]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -80.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[9,8,7,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-85,38,-74,17,73,-10,76,72,54,10]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[9,8,7,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/18/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -9}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [73, 7, -77, 64, 76, -39, 84, -96, -34, 41].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-77,-77,-34,41]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[73,7,-77,64,76,-39,84,-96,-34,41]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-77,-96,-34,41]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-77,-77,-34,41]}]"}
{"id": "python/three_chain_target/18/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-26, 17, 24, 56, -86, 35, 85, 84, -78, 54]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [-10, 16, 84, -48, 73, -5, -1, 89, 7, 7].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_1, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-55, -81, 4, 31, -52, 29, -60, 12, -26, 20].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-81,-60,4,4,-16,-16,-16,1,2,31]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":22},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,-60,4,12,-55,20,-52,29,-26,31]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-81,-60,4,4,-16,-16,-16,1,2,31]}]"}
{"id": "python/three_chain_target/18/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -17}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -4.\nDefine task_1_bound_static = 72.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -98.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,2,2,-19,-19,-18,-18,-81]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-3,17,-63,-16,-21,-1,-81]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,-3,17,-63,-16,-21,-1,-81]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[2,2,2,-19,-19,-18,-18,-81]}]"}
{"id": "python/three_chain_target/18/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -41}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -43.\nDefine task_1_bound_static = 4.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,32,32,56]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-42,-40,-84]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,1764,1600,7056]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[4,32,32,56]}]"}
{"id": "python/three_chain_target/18/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -68}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [38, -2, -58, 74, -16, 54, -9, -51, -25, 8].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-8,-6,-4,-2,0,2,4,6,8,10]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[38,-2,-58,74,-16,54,-9,-51,-25,8]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]}]"}
{"id": "python/three_chain_target/18/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -29}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 64.\nDefine task_1_bound_static = 55.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-76, -64, 31, -2, -10, -26, 37, 14, -87, -80].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-80,-80,14,14,-10,-10,-2,-2,-64,-76]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-28,35]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-80,-87,14,37,-26,-10,-2,31,-64,-76,2,-28,35]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-80,-80,14,14,-10,-10,-2,-2,-64,-76]}]"}
{"id": "python/three_chain_target/18/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [97, -1, -36, 94, -64, 46, 66, -40, 63, -89]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-1,94,94,94,66,66,80,80,97,97]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,94,94,97,46,66,97,63,97,97]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-1,94,94,94,66,66,80,80,97,97]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-1,94,94,94,66,66,80,80,97,97]}]"}
{"id": "python/three_chain_target/18/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 18, "target_native_task_name": "transformArray:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 28}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [-58, -60, 86, 8, 5, 5, -31, -79, -24, -40].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [74, -75, -38, 42, -64, -44, -97, 75, 1, 63].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_3[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_3[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_3[i] += 1\n                f = True\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[74,-38,-38,-38,-54,-54,-54,38,38,63]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[74,-75,-38,42,-64,-44,-97,75,1,63]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[74,-38,-38,-38,-54,-54,-54,38,38,63]}]"}
{"id": "python/three_chain_target/19/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -59}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-68, -33, 21, -35, -50, -90, 74, 31, 26, -77].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-13, 38, 44, 79, -94, 85, 90, -4, -26, -42].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-13,38,44,79,-94,85,90,-4,-26,-42]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/19/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-11, -55, -34, -13, -42, 93, -25, -30, 68, 94]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 50.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    if list_1[0] > k:\n        python_result_1 = k\n        return python_result_1\n    (left, right) = (0, len(list_1))\n    while left < right:\n        mid = left + right >> 1\n        if list_1[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = list_1[left - 1] + k - (list_1[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -54.\nDefine task_2_bound_static = 93.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":55},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-53,56,1]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/19/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [79, -67, 15, 14, 68, 83, -24, 97, 12, 20]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[4,1,2,1,1,2,1,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,1,4,1,4,1,1,4,1,16]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/19/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [24, 36, 58, 20, 94, 40, -87, -67, 8, 17]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[119,59,35,113,227,361,314,160,101,126]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,3,1,1,2,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/19/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 55}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 84.\nDefine task_1_bound_static = 73.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [71, -35, 22, 8, -9, 74, 36, 13, 5, -69].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,56]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,69,-36,19,6,-10,71,33,10,5,-13]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/19/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -37}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-58, 84, 10, 83, 72, -90, -86, -4, 4, -18].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-58,84,10,83,72,-90,-86,-4,4,-18]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[84,-1,83,84,84,-86,-4,4,84,84]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/19/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 2}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -47.\nDefine task_2_bound_static = 22.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-46,3,-45,5,-43,9,-39,17,-31]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/19/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -3}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -80.\nDefine task_1_bound_static = 78.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-79,-2,-83,10,-71,-26,-107]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[4,1,3,1,8,1,2,3]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/19/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 60}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-31, -36, 68, 33, 61, -82, 80, -85, -87, 14].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-63, -71, 57, -78, 26, 78, 98, 91, 37, 23].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-85,-82,-36,-31,14,33,61,68,80]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[23,37,91,98,78,26,-78,57,-71,-63,-87,-85,-82,-36,-31,14,33,61,68,80]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/19/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -58}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [79, -93, -72, -7, -45, -58, -94, 67, 14, -24].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-85},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[79,-93,-72,-7,-45,-58,-94,67,14,-24]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/19/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [83, -46, -18, -50, -24, 82, -82, 78, 46, -89]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_warehouse_static = [-39, 43, -5, 36, 97, -94, -57, -2, 6, 62].\nTrace the execution of task_1 with inputs warehouse = task_1_warehouse_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_1.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_1):\n        while j >= 0 and left[j] < list_1[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [50, 10, -26, 59, -28, 76, 27, 47, -61, 1].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[47,10,-28,59,-26,76,27,50,-61,1]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/19/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-8, -65, 73, -23, 11, 41, -75, 75, -67, 95]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] > list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_1 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_1))) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [79, -84, 64, 66, 32, -31, -41, 48, -57, 51].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997149},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[32,-84,48,51,64,-57,-41,66,-31,79]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/19/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [74, 68, -35, 96, -11, -56, 20, 20, 79, 30]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [46, -23, -25, -64, -25, 42, -19, -64, 42, 7].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -52.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[7,42,-64,-19,-25,-23,46,74,68,-35,96,-11,-56,20,20,79,30]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[7,42,-64,-19,-25,-23,46,74,68,-35]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/19/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [21, 14, -48, -49, 65, -100, -59, -22, -6, 15]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-34, -23, -92, 52, 100, -91, 88, 53, -9, 74].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_1[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_1[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_1 = m\n                return python_result_1\n    python_result_1 = max((f[i][i] + (list_1[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -6.\nDefine task_2_bound_static = 16.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-5,5,-2]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/19/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -28}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [53, 75, -43, -19, 100, -72, -8, 14, 60, 34].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-92, 67, -49, -75, -22, 43, 98, -83, 26, -88].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-92,67,-49,-75,-22,43,98,-88,26,-83]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/19/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 19, "target_native_task_name": "longestSubarray:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 14}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [-85, -23, 10, 91, 73, 3, 11, 91, -17, 47].\nDefine task_1_passengers_static = [-19, 99, -43, 21, -24, 43, -86, 22, 11, 20].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [92, 35, 43, -66, -89, 17, 18, 70, 100, -65].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_3, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_3[i]:\n            right[i] = right[i + 1] + 1\n    python_result_3 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":91},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-89,-66,-65,17,18,35,43,70,92,100]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/20/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-30, -38, -35, 36, -35, -75, -44, -69, -55, -37].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-20, -3, 45, -52, -75, -84, 16, -21, 30, -41].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [95, 90, -25, -5, 65, -94, 40, 75, -28, -48].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-48,-28,75,40,-94,65,-5,-25,90,95,-41,30,-21,16,-84,-75,-52,45,-3,-20]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-30,-38,-35,36,-35,-75,-44,-69,-55,-37]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-41,30,-21,16,-84,-75,-52,45,-3,-20,-30,-38,-35,36,-35,-44,-69,-55,-37]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-48,-28,75,40,-94,65,-5,-25,90,95,-41,30,-21,16,-84,-75,-52,45,-3,-20]}]"}
{"id": "python/three_chain_target/20/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-25, -31, 50, -57, 79, -39, -49, -33, -59, -77].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [90, -38, -83, -44, 10, 38, 25, 40, -80, -23].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-20, -50, 32, -10, 71, -99, -31, 90, 13, 51].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[51,13,90,-31,-99,71,-10,32,-50,-20,-44,-83,-38,10,38,25,40,-80,-23]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":109},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[90,-44,-83,-38,10,38,25,40,-80,-23]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[51,13,90,-31,-99,71,-10,32,-50,-20,-44,-83,-38,10,38,25,40,-80,-23]}]"}
{"id": "python/three_chain_target/20/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [29, 37, 1, 8, -97, -63, -13, 70, -75, 3]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-29, 18, 72, -100, 84, 16, 40, 81, -25, -79].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [31, 66, -89, -29, -25, -77, -37, 80, 22, -89].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-89,22,80,-37,-77,-25,-29,66,31,10,9,8,7,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-79,-25,81,40,16,84,-100,72,18,-29,29,37,1,8,-97,-63,-13,70,-75,3]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-89,22,80,-37,-77,-25,-29,66,31,10,9,8,7,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/20/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -24}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [36, 2, -5, -52, -40, -73, 88, -2, -100, -15].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [5, 0, -77, 38, -70, -69, -59, 65, 4, -22].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [43, 86, 19, 93, 11, -58, -39, -68, -43, -2].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-2,-43,-68,-39,-58,11,93,19,86,43,0,4,-77,38,-70,-69,-59,65,5,-22]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[0,4,-77,38,-70,-69,-59,65,5,-22]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-2,-43,-68,-39,-58,11,93,19,86,43,0,4,-77,38,-70,-69,-59,65,5,-22]}]"}
{"id": "python/three_chain_target/20/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 98}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-93, 87, -29, 21, 6, -89, 92, -28, -53, -78].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [31, 53, 80, 24, -78, 93, -48, 0, 89, 49].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-8, 72, -34, -50, 34, -47, -20, -93, -33, 89].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[89,-33,-93,-20,-47,34,-50,-34,72,-8,-78,-48,0,24,31,49,53,80,93]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":92},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-78,-48,0,24,31,49,53,80,89,93]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[89,-33,-93,-20,-47,34,-50,-34,72,-8,-78,-48,0,24,31,49,53,80,93]}]"}
{"id": "python/three_chain_target/20/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [43, 68, 39, -42, -22, -24, 73, -8, -50, -76]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-97, 9, 77, -20, -83, -83, 70, 64, -17, 92].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[92,-17,64,70,-83,-20,77,9,-97,1,7,1,2,4,1,5,10,1,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-76,68,-50,-42,-22,-24,-8,73,39,43]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,7,1,2,4,1,5,10,1,2]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[92,-17,64,70,-83,-20,77,9,-97,1,7,1,2,4,1,5,10,1,2]}]"}
{"id": "python/three_chain_target/20/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [28, -71, -80, 7, -83, -20, -34, -33, -11, 91]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-94, -50, 58, -58, -13, 92, 15, 51, 27, 97].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[97,27,51,15,92,-13,-58,58,-50,-94,9,2,2,2,2,2,1,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[9,2,1,6,1,3,1,1,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[9,2,2,2,2,2,1,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[97,27,51,15,92,-13,-58,58,-50,-94,9,2,2,2,2,2,1,1,1,0]}]"}
{"id": "python/three_chain_target/20/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -2}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [-94, -83, -93, 92, 32, 59, 18, 70, -50, -74].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [21, 19, 51, -69, 13, -45, -10, 91, 97, 98].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-76, 82, -12, 78, 83, 67, 12, 43, -29, -92].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-92,-29,43,12,67,83,78,-12,82,-76,19,21,51,-69,13,-45,-10,91,97,98]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[19,21,51,-69,13,-45,-10,91,97,98]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-92,-29,43,12,67,83,78,-12,82,-76,19,21,51,-69,13,-45,-10,91,97,98]}]"}
{"id": "python/three_chain_target/20/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [20, 41, -70, -96, 80, 46, -28, -73, 60, -11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-51, 62, 0, 43, -63, -64, 79, -42, 37, -56].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-56,37,-42,79,-64,-63,43,0,62,-51,41,80,80,80,60,60,60,60,60,20]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[41,80,80,80,-1,60,60,60,80,20]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[41,80,80,80,60,60,60,60,60,20]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-56,37,-42,79,-64,-63,43,0,62,-51,41,80,80,80,60,60,60,60,60,20]}]"}
{"id": "python/three_chain_target/20/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-34, -12, 48, -15, -60, 82, -70, 53, 22, 53]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_1[0] > 0)\n    g[0] = int(list_1[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_1[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_1[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-78, 63, 94, 73, 63, -50, -7, 11, -81, 22].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-89, -90, -47, -34, 94, -61, -94, -12, -7, 11].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[11,-7,-12,-94,-61,94,-34,-47,-90,-89,-81,63,73,63,-50,-78,22]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,63,94,73,63,-50,-7,11,-78,22]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[11,-7,-12,-94,-61,94,-34,-47,-90,-89,-81,63,73,63,-50,-78,22]}]"}
{"id": "python/three_chain_target/20/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -62}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [32, 18, -55, 5, 80, 76, 23, 37, 59, 1].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [76, -52, 96, 87, 76, 12, -3, -66, 35, 58].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[58,35,-66,-3,12,76,87,96,-52,32,18,5,5,37,37,37,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[32,18,-55,5,80,76,23,37,59,1]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[32,18,5,5,76,76,37,37,37,1]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[58,35,-66,-3,12,76,87,96,-52,32,18,5,5,37,37,37,1]}]"}
{"id": "python/three_chain_target/20/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -90.\nDefine task_2_bound_static = 72.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [60, 33, -91, -26, -71, 69, -79, -100, -16, 9].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[9,-16,-100,-79,69,-71,-26,-91,33,60,2,-89,39,-52]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":38},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-89,39,-52]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[9,-16,-100,-79,69,-71,-26,-91,33,60,2,-89,39,-52]}]"}
{"id": "python/three_chain_target/20/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [76, 80, 37, 58, -14, -1, 76, -80, 76, 34]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [-54, 74, -62, 14, 44, 65, 99, 10, -35, 93].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[93,-35,10,99,65,44,14,-62,74,-54,1,0,0,1,0,1,1,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,196,5776,6400,5776,1156,3364,1369,6400,5776]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,0,0,1,0,1,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[93,-35,10,99,65,44,14,-62,74,-54,1,0,0,1,0,1,1,2,1,0]}]"}
{"id": "python/three_chain_target/20/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -14}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-31, -24, -57, -41, 56, 4, 6, -33, -78, 69].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -25.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [91, -85, 61, 98, 72, -22, 64, 25, -22, 83].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[83,-22,25,64,72,98,61,-85,91,-31,-24,-57,-41,56,4,6,-33,-78,69]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-31,-24,-57,-41,56,4,6,-33,-78,69]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-31,-24,-57,-41,56,4,6,-33,-78,69]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[83,-22,25,64,72,98,61,-85,91,-31,-24,-57,-41,56,4,6,-33,-78,69]}]"}
{"id": "python/three_chain_target/20/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 63}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -75.\nDefine task_1_bound_static = 84.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [82, -2, -100, -89, -1, -83, 99, -57, 34, 3].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[3,34,-57,99,-83,-1,-89,-100,-2,82,4,76,96,44]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-74,64,-12]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,5476,4096,144]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[3,34,-57,99,-83,-1,-89,-100,-2,82,4,76,96,44]}]"}
{"id": "python/three_chain_target/20/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 20, "target_native_task_name": "simulationResult:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-49, -97, -34, 66, 92, -49, -79, -88, -84, -93]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_queries_static = [19, 74, -22, -17, -15, -97, 56, -77, -25, 14].\nTrace the execution of task_3 with inputs queries = task_3_queries_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_3:\n        if w not in s:\n            ans.append(w)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[14,-25,-77,56,-97,-15,-17,-22,74,19,-34,-34,66,66,-1,-34,-49,-49,-49,-49]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-34,-34,66,92,-1,-34,-49,-84,-49,-49]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-34,-34,66,66,-1,-34,-49,-49,-49,-49]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[14,-25,-77,56,-97,-15,-17,-22,74,19,-34,-34,66,66,-1,-34,-49,-49,-49,-49]}]"}
{"id": "python/three_chain_target/21/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -18}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [88, -65, -24, -30, -57, -23, 30, 41, -68, -85].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[88,-65,-24,-30,-57,-23,30,41,-68,-85]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[88,-68,-24,-30,30,-23,-57,41,-65,-85]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/21/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-9, 43, -2, 99, -92, 13, 27, 67, -9, 31]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_1) - 1):\n        if list_1[i] == list_1[i + 1]:\n            continue\n        if list_1[i] > list_1[j] and list_1[i] > list_1[i + 1]:\n            ans += 1\n        if list_1[i] < list_1[j] and list_1[i] < list_1[i + 1]:\n            ans += 1\n        j = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [88, 27, 9, 63, 42, 16, 11, 29, 24, 18].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[88,9,11,63,42,16,18,24,27,29]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/21/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -71}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-51, -67, -23, -20, 41, 89, 39, -75, -58, -25].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-51,-67,-23,-20,41,89,39,-75,-58,-25]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-58,-20,-23,-67,41,89,39,-75,-51,-25]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/21/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [75, 47, -40, -78, 78, 0, -62, 15, -27, -83]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[78,78,78,78,-1,15,15,75,75,75]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[488,332,176,20,57,71,101,191,341,491]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/21/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_1:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_1:\n        ans += 1\n        s += k\n        k += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-42, 87, 21, 78, -100, -57, -72, -44, -36, -57].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":13},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-57,78,21,87,-100,-57,-72,-44,-42,-36]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/21/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 69}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [94, -15, -3, 66, -71, 35, -12, 82, -74, 86].\nDefine task_1_capacityB_static = 40.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -100.\nDefine task_2_bound_static = 48.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-99,6,-95,26,-75]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/21/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -66}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 55.\nDefine task_1_energy_static = [-76, 17, -57, 47, 78, 10, -48, 28, -77, 31].\nDefine task_1_experience_static = [72, 83, 3, 49, 85, 13, -57, 69, 28, -46].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-75, 26, 24, 84, -13, -46, 75, -95, -35, 85].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":38},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-75,-46,75,-35,-13,84,24,26,85]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/21/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 100}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -31.\nDefine task_1_energy_static = [-89, -18, -27, -2, -24, 20, 69, 48, -48, -82].\nDefine task_1_experience_static = [-100, 13, -98, -1, -41, 18, -83, -13, 56, -88].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-23, 64, 79, 2, 44, 95, 100, 51, 76, 4].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":393},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-23,2,4,44,51,64,76,79,95,100]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/21/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 21}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-60, -60, 47, 55, -2, -25, 75, 94, 54, -11].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":12},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-60,-60,47,54,-11,-25,75,94,55,-2]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/21/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 3}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [66, 16, 48, 32, -63, 40, 75, -98, 9, -75].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-70, 28, 48, -45, -90, -71, 36, 61, 98, 40].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-71,28,48,-45,-90,-70,36,61,98,40]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/21/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 89}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-46, 57, -29, 20, -21, 56, 25, 77, 79, -2].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-46,-29,-21,-2,20,25,56,57,77,79]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[262,337,387,410,392,347,266,153,19,137]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/21/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-59, -44, 17, 49, 41, -71, 16, -59, -7, 52].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-59,-44,17,49,41,-71,16,-59,-7,52]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-44,17,49,52,52,16,52,-7,52,-1]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/21/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -85}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [23, 72, -65, 65, -51, 14, -48, -28, 88, 18].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[23,72,-65,65,-51,14,-48,-28,88,18]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,8,1,6,1,4,1,2,10,1]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/21/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-55, 77, 45, 80, -4, -5, -85, -15, -99, -95].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 52.\nDefine task_2_bound_static = 82.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,53,11,62]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/21/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-36, 75, 80, -29, 28, 76, 32, -83, -67, 81]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [24, -47, -62, -8, 11, -83, -90, 12, 83, -50].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[24,-50,-62,-8,11,-90,-83,12,83,-47]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/21/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 21, "target_native_task_name": "longestMountain:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 3}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [55, -86, -19, -86, 12, -63, 37, -22, 99, -40].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_3[i] > list_3[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_3[i] > list_3[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[55,-86,-22,-86,12,-63,37,-19,99,-40]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[144,3969,1369,361,7396,484,9801,1600,7396,3025]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/22/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [87, 51, -68, -36, 99, 86, -66, 21, -73, -41].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 54.\nDefine task_2_bound_static = 80.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,70,58,5,17,55,65]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,55,5,58,17,70,65]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,70,58,5,17,55,65]}]"}
{"id": "python/three_chain_target/22/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [47, -64, -84, 75, -38, -9, -8, -13, -64, -17]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-64,-64,-9,-9,-9,-9,-13,-17,-17]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[47,-64,-64,-9,-9,-9,-9,-13,-17,-17]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-64,-64,-9,-9,-9,-9,-13,-17,-17]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-64,-64,-9,-9,-9,-9,-13,-17,-17]}]"}
{"id": "python/three_chain_target/22/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [10, -95, -26, 24, -32, -70, 12, -1, -23, -70]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,2,8,4,6,5,7,3,9]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[3,1,1,0,2,1,0,0,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[10,2,8,4,6,5,7,3,9]}]"}
{"id": "python/three_chain_target/22/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-3, 100, -98, 70, 68, 40, 78, 50, -34, 37]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,0,44,96,24,36,76,4,21,41]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[211,214,312,340,202,94,24,152,168,171]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,1600,144,196,121,8836,576,2704,4624,5041]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[4,0,44,96,24,36,76,4,21,41]}]"}
{"id": "python/three_chain_target/22/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 51}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 9.\nDefine task_1_bound_static = 81.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    list_2.sort()\n    n = len(list_2)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_2[i] % list_2[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_2[k] % list_2[i] == 0 and f[i] == m:\n            ans.append(list_2[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[60,10,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,10,52,60]},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[60,10,2]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[60,10,2]}]"}
{"id": "python/three_chain_target/22/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 67}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [87, -68, -25, 67, 52, 24, -29, -84, -95, -35].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[52,-84,-68,24,-29,-25,-35,-95,67,87]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-84,-68,-35,-29,-25,24,52,67,87]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-95,-84,-68,-35,-29,-25,24,52,67,87]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[52,-84,-68,24,-29,-25,-35,-95,67,87]}]"}
{"id": "python/three_chain_target/22/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 28.\nDefine task_1_bound_static = 66.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,56,21,41]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,29,39,66]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,841,1521,4356]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[4,56,21,41]}]"}
{"id": "python/three_chain_target/22/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [49, -27, -50, 39, 0, 53, 29, -38, 78, 78]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,-2,2,0,-1,1,1,-1,3,-3]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[53,39,39,53,53,78,78,78,-1,-1]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-3,-2,-1,-1,0,1,1,2,3,4]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[4,-2,2,0,-1,1,1,-1,3,-3]}]"}
{"id": "python/three_chain_target/22/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -81}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-86, 39, 77, 89, -3, 16, -79, 74, -20, -94].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [53, -14, 32, 54, 42, 73, -35, 60, -55, 100].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[0,-14,32,54,42,60,-35,73,-55,53]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-80},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[53,-14,32,54,42,73,-35,60,-55,100]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[0,-14,32,54,42,60,-35,73,-55,53]}]"}
{"id": "python/three_chain_target/22/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -40}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-16, -35, 24, -45, -93, -96, 69, -64, 46, 39].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,10,6,2,3,1,1,1,3,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-16,-35,24,-45,-93,-96,69,-64,46,39]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,6,3,2,1,10,1,3,1]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,10,6,2,3,1,1,1,3,1]}]"}
{"id": "python/three_chain_target/22/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [70, -42, 47, 69, -43, 0, 58, 37, -78, -13]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    if list_1[0] <= list_1[-1]:\n        python_result_1 = list_1[0]\n        return python_result_1\n    (left, right) = (0, len(list_1) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_1[0] <= list_1[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_1 = list_1[left]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 89.\nDefine task_2_bound_static = 69.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,-41,47]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-42},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-41,47]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,-41,47]}]"}
{"id": "python/three_chain_target/22/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-63, 69, -69, 17, 43, -49, 31, 57, 34, 76].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [3, 87, -15, 1, -64, -84, -46, -39, 77, 18].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[18,-46,-84,-64,1,-15,87,-39,77,3]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":201},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[3,87,-15,1,-64,-84,-46,-39,77,18]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[18,-46,-84,-64,1,-15,87,-39,77,3]}]"}
{"id": "python/three_chain_target/22/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -30}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [25, 20, 60, -2, 68, -9, -25, -92, 47, 61].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-92,20,60,-2,68,-9,-25,25,47,61]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[25,20,60,-2,68,-9,-25,-92,47,61]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-92,20,60,-2,68,-9,-25,25,47,61]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-92,20,60,-2,68,-9,-25,25,47,61]}]"}
{"id": "python/three_chain_target/22/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [82, 18, 2, 71, 70, 28, -26, -53, -39, -67]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -96.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    if list_1[0] > k:\n        python_result_1 = k\n        return python_result_1\n    (left, right) = (0, len(list_1))\n    while left < right:\n        mid = left + right >> 1\n        if list_1[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = list_1[left - 1] + k - (list_1[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 61.\nDefine task_2_bound_static = 99.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,62,-95,-35]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-96},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,62,-95,-35]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,62,-95,-35]}]"}
{"id": "python/three_chain_target/22/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-99, 43, -49, -40, -35, -48, -64, 57, 76, -38]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,2,8,4,6,5,7,3,9]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[10,2,8,4,6,5,7,3,9]}]"}
{"id": "python/three_chain_target/22/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 22, "target_native_task_name": "sortArrayByParity:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [49, -59, -77, -99, -57, -55, 69, -93, -19, 33]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if list_3[i] % 2 == 0:\n            i += 1\n        elif list_3[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_3[i], list_3[j]) = (list_3[j], list_3[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_3 = list_3\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[18,32,42,48,50,48,42,32,18,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[18,32,42,48,50,48,42,32,18,0]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[18,32,42,48,50,48,42,32,18,0]}]"}
{"id": "python/three_chain_target/23/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [57, -68, 37, -8, -82, -64, 69, 100, -2, 83].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = -12.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    if list_2[0] > k:\n        python_result_2 = k\n        return python_result_2\n    (left, right) = (0, len(list_2))\n    while left < right:\n        mid = left + right >> 1\n        if list_2[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = list_2[left - 1] + k - (list_2[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,-68,-64,-8,-2,37,57,69,83,100]},{\"node_id\":\"task_2\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-9},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-9}]"}
{"id": "python/three_chain_target/23/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 12}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_1:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_1:\n        ans += 1\n        s += k\n        k += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_plants_static = [-56, 14, 99, 16, 92, 51, 17, -78, -41, -14].\nDefine task_2_capacityB_static = 55.\nTrace the execution of task_2 with inputs plants = task_2_plants_static, capacityB = task_2_capacityB_static.\n```python\nfrom typing import List\ndef task_2(plants: List[int], val_2: int, capacityB: int) -> int:\n    (a, b) = (val_2, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_2\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/23/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-23, 64, 74, -71, -3, 39, 71, 70, 88, -86]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    list_1.sort()\n    n = len(list_1)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[i] % list_1[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_1[k] % list_1[i] == 0 and f[i] == m:\n            ans.append(list_1[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_2 = sum((f(x) for x in list_2))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "56", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[39,-3]},{\"node_id\":\"task_2\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":56},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":56}]"}
{"id": "python/three_chain_target/23/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-27, 2, 13, 62, 74, -97, 40, -82, 96, 31]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_plants_static = [79, 18, 59, 36, -39, -16, 71, 2, 71, 89].\nDefine task_2_capacityB_static = 89.\nTrace the execution of task_2 with inputs plants = task_2_plants_static, capacityB = task_2_capacityB_static.\n```python\nfrom typing import List\ndef task_2(plants: List[int], val_2: int, capacityB: int) -> int:\n    (a, b) = (val_2, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_2\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":6}]"}
{"id": "python/three_chain_target/23/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-86, -51, -20, -55, 95, -2, 4, -55, -11, 30]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_passengers_static = [-60, -8, -81, 94, -25, 60, 32, -33, -30, -79].\nDefine task_1_capacity_static = -47.\nTrace the execution of task_1 with inputs passengers = task_1_passengers_static, capacity = task_1_capacity_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], passengers: List[int], capacity: int) -> int:\n    list_1.sort()\n    passengers.sort()\n    j = 0\n    for t in list_1:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_1[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_buses_static = [-24, -32, 48, -71, 49, 52, 92, 47, -65, 90].\nDefine task_2_passengers_static = [-73, 36, -18, 32, 93, 0, 93, -17, 6, -55].\nTrace the execution of task_2 with inputs buses = task_2_buses_static, passengers = task_2_passengers_static.\n```python\nfrom typing import List\ndef task_2(buses: List[int], passengers: List[int], val_2: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_2\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "89", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":95},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":92},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":89}]"}
{"id": "python/three_chain_target/23/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-43, -58, -63, 60, -41, 43, 69, -65, -94, 92]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    list_1.sort()\n    n = len(list_1)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[i] % list_1[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_1[k] % list_1[i] == 0 and f[i] == m:\n            ans.append(list_1[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[43,-43]},{\"node_id\":\"task_2\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/23/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -23}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 64.\nDefine task_1_bound_static = 21.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = -30.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    mx = max(list_2)\n    n = len(list_2)\n    ans = cnt = j = 0\n    for x in list_2:\n        while j < n and cnt < k:\n            cnt += list_2[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-22]},{\"node_id\":\"task_2\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":6}]"}
{"id": "python/three_chain_target/23/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -62}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-61, -98, -80, 84, -2, 36, 73, 42, 29, -57].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_tokens_static = [-4, -18, 8, -2, 26, 45, -47, -66, 27, 74].\nTrace the execution of task_2 with inputs tokens = task_2_tokens_static.\n```python\nfrom typing import List\ndef task_2(tokens: List[int], val_2: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_2 >= tokens[i]:\n            val_2 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_2 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":9}]"}
{"id": "python/three_chain_target/23/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-79, 89, -63, 1, 9, 9, 17, -48, -8, -14]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -77.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    mx = list_1[0]\n    cnt = 0\n    for x in list_1[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_2:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_2 = 0\n            return python_result_2\n        y = val_2 % 10\n        if val_2 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_2 = (val_2 - y) // 10\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "89", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":89},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":98},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":89}]"}
{"id": "python/three_chain_target/23/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [54, 6, -14, -84, 94, -77, -32, 65, 38, -78]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_2:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_2 = 0\n            return python_result_2\n        y = val_2 % 10\n        if val_2 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_2 = (val_2 - y) // 10\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "49", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":94},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":49},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":49}]"}
{"id": "python/three_chain_target/23/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 60}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [72, 31, 61, 15, -26, -39, 52, 66, -5, -32].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [-9, -89, -55, 29, 63, -32, 85, 75, -92, 13].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":60},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":6}]"}
{"id": "python/three_chain_target/23/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 32}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [20, 40, -20, -82, 42, -68, 85, -86, -12, 49].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "79", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":85},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":79}]"}
{"id": "python/three_chain_target/23/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 70}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [83, -31, 52, 25, 17, -90, -22, 67, 18, -36].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_buses_static = [-54, 54, -30, 61, -27, 80, -56, 24, -60, -30].\nDefine task_2_passengers_static = [-13, -99, -40, 99, -56, 61, 11, 72, 73, 10].\nTrace the execution of task_2 with inputs buses = task_2_buses_static, passengers = task_2_passengers_static.\n```python\nfrom typing import List\ndef task_2(buses: List[int], passengers: List[int], val_2: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_2\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "79", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":85},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":80},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":79}]"}
{"id": "python/three_chain_target/23/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -16}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-16, -70, -33, -16, -88, -62, 50, 55, 48, 77].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    g = []\n    for x in list_2:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_2 = len(g)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-16,-70,-33,-16,-88,-62,50,55,48,77]},{\"node_id\":\"task_2\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/23/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -17}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-81, -8, -3, 52, 97, -18, -23, 67, 51, 73].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [46, 48, 12, -51, 80, 51, 45, 8, 41, 4].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_2 == 1:\n        python_result_2 = ans % mod\n        return python_result_2\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_2 - 2) * s + mx_pre + mx_suf)\n    python_result_2 = ans % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "29", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":23},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":6532},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":29}]"}
{"id": "python/three_chain_target/23/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 23, "target_native_task_name": "monotoneIncreasingDigits:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-12, 85, 14, 17, -98, 61, -67, 57, 95, -88]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_s_static = [2, -14, -99, -59, -28, 32, -19, -70, -42, 34].\nTrace the execution of task_2 with inputs s = task_2_s_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], s: List[int]) -> int:\n    list_2.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_2):\n        while j < len(s) and s[j] < list_2[i]:\n            j += 1\n        if j >= len(s):\n            python_result_2 = i\n            return python_result_2\n        j += 1\n    python_result_2 = len(list_2)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    s = list(str(val_3))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_3 = int(''.join(s))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,8,1,3,1,6,1,2,10,1]},{\"node_id\":\"task_2\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/24/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [1, 38, -45, 8, -45, -28, 95, 20, -34, -65]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_s_static = [31, 32, 93, -35, 80, 60, -49, -47, -38, -78].\nTrace the execution of task_1 with inputs s = task_1_s_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], s: List[int]) -> int:\n    list_1.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_1):\n        while j < len(s) and s[j] < list_1[i]:\n            j += 1\n        if j >= len(s):\n            python_result_1 = i\n            return python_result_1\n        j += 1\n    python_result_1 = len(list_1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -95.\nDefine task_2_bound_static = 90.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-94,9,-87,65,-31]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/24/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-69, -86, 70, -29, -29, 91, 40, -26, -91, -49]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-69,-86,70]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/24/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -45}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-4, 66, -76, -15, 85, 20, -86, 24, -40, 29].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -40.\nDefine task_2_bound_static = 72.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-45},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-39,-44,-85]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/24/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 2}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-34, -66, 55, 56, -68, -45, 27, 27, 70, 94].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-63, 28, -37, -35, 43, 80, 50, -70, 61, -68].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":56},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-70,28,-68,-63,43,50,61,-37,80,-35]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/24/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 45}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [26, 69, 25, 76, -67, 93, 26, 89, -80, 89].\nDefine task_1_runningCost_static = 85.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [90, -82, -87, -15, -12, 33, 46, 66, -76, -90].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":87},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-90,-87,-82,-76,-15,-12,33,46,66,90]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/24/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -56}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -59.\nDefine task_1_bound_static = 98.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-58,-55,-115]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[128,72,41,111]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/24/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -88}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-64, 86, 42, 33, -59, 52, 58, 54, 42, 68].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-66, 52, -84, -43, 62, -54, -24, -18, -89, 47].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":86},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-89,-84,-66,-54,-43,-24,-18,47,52,62]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/24/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-23, 20, 66, 33, -93, 76, 15, 70, -88, 53]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [18, 18, 75, 88, 67, 13, -29, 86, -5, -29].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-6,35,138,119,-27,87,-15,154,-94,22]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,5,2,1,10,1,4,1,2]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/24/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 46}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 22.\nDefine task_1_bound_static = 30.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,23]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[2,23]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/24/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 90}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 14.\nDefine task_2_bound_static = 81.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":13},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,15,14,27]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/24/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-38, 4, -66, 68, 57, -13, 62, -73, 72, 11].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-38,4,-66,68,57,-13,62,-73,72,11]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[122,156,218,216,91,47,2,9,10,73]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/24/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -91}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-86, -74, 97, 20, -83, -18, -45, 25, -14, -21].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-19},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,-74,97,20,-83,-18,-45,25,-14,-21]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/24/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -4}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -98.\nDefine task_1_bound_static = 67.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-97,-3,-102,17,-82,-63,-162]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[4,1,2,3,8,1,2,3]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/24/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-81, 82, 66, -44, -52, -87, 97, -76, 73, -88].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-38},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,82,66,-44,-52,-87,97,-76,73,-88]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/24/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-83, -67, 85, -22, -19, 93, 15, -90, 33, -67]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[39,111,93,30,71,3,111,36,21,55]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[39,11,93,30,71,3,11,36,21,55]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/24/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 24, "target_native_task_name": "wiggleMaxLength:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -54}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [28, 67, -4, -51, -23, 19, -8, -28, 11, -13].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_3[j] > list_3[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[28,67,-4,-51,-23,19,-8,-28,11,-13]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[16,2601,529,361,64,784,121,169,4489,784]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/25/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -34}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [60, -48, 31, 33, 44, 56, -27, -63, 14, -85].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    list_2.sort()\n    n = len(list_2)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_2[i] % list_2[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_2[k] % list_2[i] == 0 and f[i] == m:\n            ans.append(list_2[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -81.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[60,-48,31,33,44,56,-27,-63,14,-85]},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[56,14]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/25/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-10, 91, 57, 57, 84, -22, -93, 1, -19, -95]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 5.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[61,20,168,282,423,485,370,278,260,146]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[61,61,68,68,68,74,74,74,60,46]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/25/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [61, -87, -29, -20, 97, 51, -19, 39, 70, 30]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_1 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 96.\nDefine task_2_bound_static = 75.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 31.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":21},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,22]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/25/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [52, -34, 26, 7, -49, -89, -19, -54, -21, -21]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    if list_1[0] <= list_1[-1]:\n        python_result_1 = list_1[0]\n        return python_result_1\n    (left, right) = (0, len(list_1) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_1[0] <= list_1[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_1 = list_1[left]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 18.\nDefine task_2_bound_static = 36.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -79.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-34},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,19,-33,-16]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/25/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-34, 77, 79, 48, 45, -1, 47, 52, 48, -16]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-12, -24, -51, -3, -74, 45, -75, 33, -77, 37].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -85.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-34,-16,48,48,52,-1,47,45,79,77]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-46,-40,-4,43,-23,42,-29,76,1,112]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/25/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 30}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -8.\nDefine task_1_bound_static = 17.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -67.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-7]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[0,2]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/25/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-43, -52, -76, 71, 9, 17, 17, 40, -65, -96]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [92, 60, -77, 52, 86, 85, -26, 93, -21, -89].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 79.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,2,1,10,1,3,3,6,2,1]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,92,60,-77,59,84,86,-24,97,-19,-88]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/25/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -81}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 20.\nDefine task_1_bound_static = 87.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -36.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,21,-80,-61]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,4,1,2]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/25/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-6, 93, 38, -82, -91, -30, 5, 28, 91, 64].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [16, 47, 33, -100, -38, -85, 86, -1, -16, -3].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -74.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":81},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-100,-85,-38,-16,-3,-1,16,33,47,86]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/25/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-12, 68, -40, -19, 91, 10, 26, -53, 43, 22]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -81.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 12.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-12,68,-40,-19,91,10,26,-53,43,22]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[148,92,64,123,51,50,86,59,49,114]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/25/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 60}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [31, -63, -99, 4, 98, -53, 89, -2, 73, 2].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 72.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":59},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-63,-53,-2,2,4,31,73,89,98]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/25/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -60}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-72, 94, -92, -86, 57, 55, 72, 37, 76, 2].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [79, -80, 35, -30, 54, -55, -89, 31, -52, 48].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 36.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[79,-80,35,-30,54,-55,-89,31,-52,48]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/25/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -79}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -37.\nDefine task_2_bound_static = 50.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 69.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-79},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-36,-78,-116]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/25/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-52, 65, 10, -78, 61, -20, 51, -100, 99, -4]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_trainers_static = [-88, -68, 21, 95, 17, -2, 16, 90, 6, 20].\nTrace the execution of task_1 with inputs trainers = task_1_trainers_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], trainers: List[int]) -> int:\n    list_1.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_1):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_1 = i\n            return python_result_1\n        j += 1\n    python_result_1 = len(list_1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 62.\nDefine task_2_bound_static = 54.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -21.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,9]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/25/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-74, 21, -10, -21, 21, -47, -14, -51, -44, 49]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 27.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-74,-47,-14,-51,-44,49]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[196,2601,1936,2209,2401,5476]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/25/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 25, "target_native_task_name": "minArrayLength:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 4}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-68, -67, 66, 85, 75, -40, 40, 82, -46, -31].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -45.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    (ans, y) = (1, list_3[0])\n    for x in list_3[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-68,-67,66,82,75,-40,40,85,-46,-31]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/26/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-88, 75, -50, -66, 68, -14, -38, -99, 87, -67]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_1[j] * (j - i)\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-39, 54, 91, -5, -83, 26, -18, 93, -29, 42].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_2 == 1:\n        python_result_2 = ans % mod\n        return python_result_2\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_2 - 2) * s + mx_pre + mx_suf)\n    python_result_2 = ans % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-90, 18, 40, 2, -2, 82, -24, -6, 41, -4].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":629},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":3867},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/26/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 65}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-18, 56, 91, -55, 88, -74, 92, -20, -53, 58].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_tokens_static = [25, 81, 26, 38, 30, 3, 69, -41, 95, 62].\nTrace the execution of task_2 with inputs tokens = task_2_tokens_static.\n```python\nfrom typing import List\ndef task_2(tokens: List[int], val_2: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_2 >= tokens[i]:\n            val_2 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_2 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [38, 34, -53, 88, 24, -99, 59, 100, 17, 37].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":75},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/26/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-46, 27, -7, 36, -9, -82, 28, 37, 60, 0]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -57.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_2)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_2 = (dfs(list_2) - 1 + mod) % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-72, 15, 43, -30, 1, 1, -1, 85, -95, 16].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-46,27,-7,36,-9,-82,28,37,60,0]},{\"node_id\":\"task_2\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":1889},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/26/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-53, 28, -18, 2, 98, -57, 23, -71, 74, -67]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [42, 96, 86, -3, -14, -63, -2, 72, 9, -73].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_2)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_2 = (dfs(list_2) - 1 + mod) % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [26, -87, 97, -100, -35, -57, -14, -64, 99, 36].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-73,9,72,-2,-63,-14,-3,86,96,42,-53,28,-18,2,98,-57,23,-71,74,-67]},{\"node_id\":\"task_2\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":209},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6}]"}
{"id": "python/three_chain_target/26/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-18, 98, 26, -1, -10, -46, -90, -92, 36, -46].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_tokens_static = [71, -65, 64, 0, -67, -70, -40, 92, -97, 18].\nTrace the execution of task_2 with inputs tokens = task_2_tokens_static.\n```python\nfrom typing import List\ndef task_2(tokens: List[int], val_2: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_2 >= tokens[i]:\n            val_2 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_2 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-16, -75, -11, 45, 7, -27, 95, -69, 53, 28].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-26},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/26/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 13}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [-49, 80, -34, 45, 20, 52, 97, -96, 20, 35].\nDefine task_1_runningCost_static = 8.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [33, 49, -17, -61, -68, 68, 24, 62, -4, 81].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-12, 49, -22, 6, -57, 80, 39, -3, -83, 21].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":56},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":61},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/26/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [39, -42, 47, 34, -83, -79, -4, -1, 34, 27].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-80, 6, 60, 70, 54, 90, -7, 34, 60, -34].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_2:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [92, 74, 3, -37, 67, -16, -75, 62, 24, 26].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":47},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":42},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/26/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [16, 100, 58, -86, 59, 69, 8, -52, -7, -76]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -4.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [-86, -84, -31, -82, -32, -51, 5, -9, 94, -40].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_2), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_2[i]\n            i += 1\n        elif list_2[i] < nums2[j]:\n            f += list_2[i]\n            i += 1\n        elif list_2[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_2[i]\n            i += 1\n            j += 1\n    python_result_2 = max(f, g) % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [18, 54, 96, 50, -4, -22, -58, -28, -76, -9].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[16,0,58,-86,59,69,8,-52,-7,-76]},{\"node_id\":\"task_2\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999996},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":9}]"}
{"id": "python/three_chain_target/26/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -83}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -42.\nDefine task_1_bound_static = 86.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_2):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_2[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-89, 31, 86, 84, -43, -31, 78, -13, -46, 45].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-41,-82,-125]},{\"node_id\":\"task_2\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/26/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -77}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [33, 59, -86, 81, 50, -61, 15, -29, 69, -79].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_tokens_static = [-41, 21, -22, -98, 63, 34, 20, -16, -60, -15].\nTrace the execution of task_2 with inputs tokens = task_2_tokens_static.\n```python\nfrom typing import List\ndef task_2(tokens: List[int], val_2: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_2 >= tokens[i]:\n            val_2 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_2 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [71, -90, 36, -51, -60, 20, -70, 76, 91, -96].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/26/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-14, 74, -41, 7, -44, -30, 94, 0, -34, 54]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_2[j] * (j - i)\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [84, 68, 56, 66, 19, -39, 92, 48, -4, 47].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,5,1,3,1,1,0,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":20},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6}]"}
{"id": "python/three_chain_target/26/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [93, -25, 50, 74, 22, 72, -90, 41, -82, 63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_1[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [60, -66, -72, 83, 15, 81, -72, -39, -16, 55].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [96, 38, 6, 23, -55, -16, 71, 88, -76, -77].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":85},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":83},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7}]"}
{"id": "python/three_chain_target/26/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 5}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 18.\nDefine task_1_energy_static = [-72, 88, -88, -50, 10, -97, 7, 89, -27, -75].\nDefine task_1_experience_static = [-76, 29, -49, 11, -47, 99, 58, -5, -87, 87].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-59, 51, -26, -41, 46, 16, -32, 10, 31, 77].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-65, 32, -91, -53, -22, -7, 93, -14, 84, -12].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":214},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":77},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7}]"}
{"id": "python/three_chain_target/26/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -17}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [9, -97, -13, 47, 30, -98, -88, -82, 92, -44].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_boardingCost_static = -31.\nDefine task_2_runningCost_static = 82.\nTrace the execution of task_2 with inputs boardingCost = task_2_boardingCost_static, runningCost = task_2_runningCost_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_2):\n        wait += list_2[i] if i < len(list_2) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [17, -6, 63, 16, -64, 6, 28, 90, -94, 66].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[9,-97,-13,47,30,-98,-88,-82,92,-44]},{\"node_id\":\"task_2\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/26/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 25}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [19, 6, 11, -80, 0, 20, 52, 54, 89, 98].\nDefine task_1_passengers_static = [87, -27, -96, 39, -49, 74, -77, 27, -41, -69].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_2:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_2 = 0\n            return python_result_2\n        y = val_2 % 10\n        if val_2 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_2 = (val_2 - y) // 10\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [24, 12, -19, 57, 68, -2, 87, 26, -16, -29].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":98},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":89},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/26/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 26, "target_native_task_name": "minArrayLength:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [98, 38, 42, -69, -70, 48, -99, 23, -91, -1]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 47.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    list_1.sort()\n    n = len(list_1)\n    m = n >> 1\n    ans = abs(list_1[m] - k)\n    if list_1[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_1[i] <= k:\n                break\n            ans += list_1[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_1[i] >= k:\n                break\n            ans += k - list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    s = list(str(val_2))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_2 = int(''.join(s))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-58, -90, -87, 70, -35, -91, 9, 40, 4, -35].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_3 = 1\n            return python_result_3\n        if x * y <= val_3:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":38},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":38},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6}]"}
{"id": "python/three_chain_target/27/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 86}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-4, -99, 41, 80, 39, -76, -18, 26, -93, -68].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "98", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":79},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-93,-76,-68,-18,-4,26,39,41,80]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":98}]"}
{"id": "python/three_chain_target/27/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -21}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-62, 2, 54, -18, 54, -95, 84, 43, -97, 61].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -3.\nDefine task_2_bound_static = 80.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "18", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-2,10,-26,11,7,19,-17]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":18}]"}
{"id": "python/three_chain_target/27/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [37, 26, 0, -37, -96, 57, 64, 48, -27, -20]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "228", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[15,48,74,37,96,135,14,98,119,72]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[48,74,96,96,98,98,98,-1,72,74]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":228}]"}
{"id": "python/three_chain_target/27/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 74}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [39, 44, 17, -43, 95, 18, 15, -33, 86, -38].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [59, 46, 46, 80, 77, 82, -26, -47, -67, -57].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "366", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[59,46,46,77,80,82,-26,-47,-67,-57]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":366}]"}
{"id": "python/three_chain_target/27/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [12, 44, -10, 53, -94, 23, 47, 80, 22, 48]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [31, -52, 35, -92, -28, -65, 20, -93, -75, 29].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "128", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,41,-9,23,-39,-122,-43,65,-13,-54,75]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,1,1681,81,529,1521,484,1849,4225,169]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":128}]"}
{"id": "python/three_chain_target/27/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-19, 49, 16, 32, -82, -37, -2, -1, -41, 64]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "243", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[2,32,97,145,95,24,63,66,108,85]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[2,32,97,45,95,24,63,66,8,85]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":243}]"}
{"id": "python/three_chain_target/27/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [55, 86, -3, 2, 67, -19, -77, 47, -92, -85]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_1)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_1 = (dfs(list_1) - 1 + mod) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [84, -26, -99, 1, -100, 82, 56, 71, 36, 46].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "198", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":539},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-26,1,-100,36,-99,46,56,71,82,84]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":198}]"}
{"id": "python/three_chain_target/27/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [42, -69, 80, -55, -61, -85, 31, 60, 58, 0]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [1, -63, 51, 74, 60, 57, -2, 74, 26, -18].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "352", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-7,-70,44,69,57,57,1,77,32,-8]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":352}]"}
{"id": "python/three_chain_target/27/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -16}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-48, -34, -100, -97, 55, -64, -76, 92, 98, 1].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-53, -4, 49, 11, 77, 58, -86, 100, 46, -65].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "258", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":191},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,-65,-53,-4,11,46,49,58,77,100]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":258}]"}
{"id": "python/three_chain_target/27/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 68}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [24, 67, -39, 15, 28, 71, 20, -52, 59, -10].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "24", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-52,-39,-10,15,20,24,28,59,67,71]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-52,-39,-10,15,20,24,28,59,67,71]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":24}]"}
{"id": "python/three_chain_target/27/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-36, 53, 22, -3, 7, 28, -44, -6, 38, 36]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_initialEnergy_static = -62.\nDefine task_1_initialExperience_static = -93.\nDefine task_1_experience_static = [-93, -13, 84, -81, 50, 65, 13, -24, 84, 40].\nTrace the execution of task_1 with inputs initialEnergy = task_1_initialEnergy_static, initialExperience = task_1_initialExperience_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(initialEnergy: int, initialExperience: int, list_1: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_1)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-13, -50, -52, 65, -18, -54, 64, -52, 47, 70].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "84", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":442},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-54,-52,-52,47,-50,-18,64,-13,65,70]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":84}]"}
{"id": "python/three_chain_target/27/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [80, 61, 43, -42, -51, 75, -68, 50, -91, -68]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "288", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[91,232,336,337,244,268,275,257,216,57]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[422,299,231,158,77,35,178,310,383,456]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":288}]"}
{"id": "python/three_chain_target/27/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 100.\nDefine task_1_bound_static = 54.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "56", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,39]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,39]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":56}]"}
{"id": "python/three_chain_target/27/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -25}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [83, 38, 100, 92, -84, -37, -62, 61, -44, 80].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "60", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-25},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[83,38,100,92,-84,-37,-62,61,-44,80]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":60}]"}
{"id": "python/three_chain_target/27/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 22}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [96, 32, -33, 80, 43, 72, -37, -70, 55, -8].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-47, 11, 6, -98, -99, 60, -68, -2, 91, 74].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "238", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":96},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-98,-68,-47,-2,6,11,60,74,91]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":238}]"}
{"id": "python/three_chain_target/27/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 27, "target_native_task_name": "sumFourDivisors:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-33, 70, -77, 44, 43, 28, 5, -40, 94, -88]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-31, 5, 92, -84, 13, 19, 62, -6, -39, 82].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_3 = sum((f(x) for x in list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "222", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-31,5,92,-84,13,19,62,-6,-39,82]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":222}]"}
{"id": "python/three_chain_target/28/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [70, 69, 59, -47, 40, 36, 26, 20, -27, -15]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,5,9,8,7,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[225,729,400,676,1296,1600,2209,3481,4761,4900]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[29,76,76,96,-1,9,81,96,76,25]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,5,9,8,7,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/28/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-22, -95, 93, -80, 68, 95, -87, -52, -50, -99]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    k = 3\n    n = len(list_1)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_1[i % n] == list_1[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-83, -73, 84, 19, -62, 27, 89, 82, 49, -8].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,9,8,7,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-83,-73,82,19,-62,27,84,89,49,-8]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/28/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [26, 0, -31, 28, -85, 96, 26, -50, 18, 36]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 15.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    list_1.sort()\n    n = len(list_1)\n    m = n >> 1\n    ans = abs(list_1[m] - k)\n    if list_1[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_1[i] <= k:\n                break\n            ans += list_1[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_1[i] >= k:\n                break\n            ans += k - list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [71, -59, -72, -16, 64, -36, -15, 15, -49, 38].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,9,8,7,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":14},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[64,-72,-59,-16,71,-49,-15,15,-36,38]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/28/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -3}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -25.\nDefine task_1_bound_static = 93.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[9,10,9,4,8,7,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-24,-2,-28,10,-16,-26,-52,82,56,-242,-268]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[4,1,3,1,8,3,2,1,10,1]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[9,10,9,4,8,7,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/28/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -91}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [0, -6, -79, -97, -26, 66, -68, 50, -68, -15].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 84.\nDefine task_2_bound_static = 93.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":66},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,85,67]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[3,2]}]"}
{"id": "python/three_chain_target/28/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 14}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [100, -58, 96, -53, -92, 63, 42, -77, -91, -68].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,9,8,7,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":41},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[42,-92,63,-91,-77,96,100,-68,-58,-53]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/28/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [98, 23, 80, 5, 58, 23, 27, -64, 84, 1]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 39.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_1:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [4, -95, -46, 68, 42, -79, 16, -10, -61, 10].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[7,10,9,8,7,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":13065},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-79,-61,-46,-10,4,10,16,42,68]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[7,10,9,8,7,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/28/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 58}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [34, 98, -12, 55, 93, -56, -97, -66, 0, 99].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,9,8,7,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,-66,-56,-12,0,34,55,93,98,99]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-97,-66,-56,-12,0,34,55,93,98,99]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/28/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [58, -62, -4, 86, -39, -40, 94, 77, 17, 73]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [15, 63, -81, -61, 90, -69, 66, 83, 31, -54].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,9,8,7,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[15,63,-81,-61,90,-69,66,83,31,-54]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/28/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 100}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-26, -40, -29, -96, -56, 83, -100, -29, -96, -43].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [74, -37, 41, 6, -23, -85, -94, 14, -95, -28].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,9,8,7,5,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":83},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-94,-85,-37,-28,-23,6,14,41,74]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,5,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/28/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-55, 26, 74, -30, 13, 86, 67, 67, -41, 41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,9,7,8]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[2,9,7,8]}]"}
{"id": "python/three_chain_target/28/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -87}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [88, -68, 54, -29, 100, 79, 54, -30, -7, 9].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [92, 9, 63, 4, 1, -99, -5, 88, -35, 31].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,6,9,8,7,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[88,1,63,4,9,-99,-5,92,-35,31]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,6,9,8,7,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/28/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [43, -22, 86, 72, 4, 96, -80, -67, -30, -91].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-47, 6, 80, 2, -27, 21, -21, -32, 21, 98].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,9,8,7,4,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":96},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-47,-32,-27,-21,2,6,21,21,80,98]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,4,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/28/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-26, 18, 80, -29, 9, 70, 93, -47, -7, 23]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-17, 24, -56, 35, -88, 23, 19, -1, -17, 54].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[8,10,9,8,7,3,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-44,39,21,4,-80,90,110,-48,-25,75]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[86,91,31,6,82,72,28,10,83,33]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[8,10,9,8,7,3,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/28/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 82.\nDefine task_1_bound_static = 91.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,83,-95,-14]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,-14,-95,83]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[4,3,2]}]"}
{"id": "python/three_chain_target/28/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 28, "target_native_task_name": "pancakeSort:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -10}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [74, -83, 61, -92, -88, -24, 51, 36, 20, 22].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_3)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_3[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_3, j)\n            ans.append(i + 1)\n            reverse(list_3, i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,9,8,7,6,5,4,3,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[74,-83,61,-92,-88,-24,51,36,20,22]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[97,88,66,35,145,257,230,143,87,45]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]}]"}
{"id": "python/three_chain_target/29/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [29, -99, -56, -95, -32, 75, -62, 16, 52, -11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    list_2.sort()\n    n = len(list_2)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_2[i] % list_2[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_2[k] % list_2[i] == 0 and f[i] == m:\n            ans.append(list_2[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[8,4,2]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/29/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [98, -45, 93, 9, -81, 34, -26, -93, 73, -24]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_1):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_1[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [38, 69, -6, -56, -32, -78, -88, 46, 31, -53].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":200},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[38,69,-6,-56,-32,-78,-88,46,31,-53]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-6}]"}
{"id": "python/three_chain_target/29/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-24, 67, -100, 75, -48, 52, -8, -83, 22, -52]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-24,-52,0,22,-48,52,-8,-83,75,67]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-8}]"}
{"id": "python/three_chain_target/29/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -17}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 86.\nDefine task_1_energy_static = [97, -63, -3, 51, -87, 59, 28, 53, 65, -30].\nDefine task_1_experience_static = [44, 24, 55, 30, -36, 46, 66, -50, 98, -67].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -55.\nDefine task_2_bound_static = 78.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-54", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":188},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-54]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-54}]"}
{"id": "python/three_chain_target/29/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-33, 90, -6, -46, -92, -68, -63, -26, -14, 28].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [29, -29, -63, 46, -68, -63, 16, -54, 95, -2].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-29", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[29,-29,-68,46,-63,-63,16,-54,95,-2]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-29}]"}
{"id": "python/three_chain_target/29/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-21, -87, 60, 1, -44, 93, -63, -13, 50, 16].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [74, -88, -48, 90, -69, 75, -9, -50, 44, -56].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-88", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[74,-88,-56,90,-69,75,-9,-50,44,-48]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-88}]"}
{"id": "python/three_chain_target/29/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -48}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [69, 32, 38, -14, -11, 56, -99, -24, -68, -8].\nDefine task_1_passengers_static = [-16, 76, -51, 27, -83, 57, -92, -41, -14, -4].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 53.\nDefine task_2_bound_static = 88.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":69},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,54,70]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/29/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-10, -32, -9, -40, 64, -21, 94, 92, -54, 63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "44", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[44,25,8,7,20,31,40,47,52]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":44}]"}
{"id": "python/three_chain_target/29/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -53}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [-78, 31, -19, -96, -60, -75, 31, -58, -74, 35].\nDefine task_1_runningCost_static = -73.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -23.\nDefine task_2_bound_static = 13.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-22", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-22,10,-14]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-22}]"}
{"id": "python/three_chain_target/29/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-65, -44, 55, -87, 39, 33, 96, 22, -84, 7]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = -13.\nDefine task_1_capacityB_static = -31.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [96, 10, 8, 46, -29, -66, -33, 39, 60, -64].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[96,8,10,46,-29,-66,-33,39,60,-64]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/29/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -45}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [64, 65, 18, -58, 44, 52, -90, -31, 83, -69].\nDefine task_1_capacityB_static = -59.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [57, -13, -72, 99, -89, -2, 57, -98, -48, -3].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-13", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[57,-13,-72,99,-89,-3,57,-98,-48,-2]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-13}]"}
{"id": "python/three_chain_target/29/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -40}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 42.\nDefine task_1_bound_static = 48.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,43,-39,2]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[43,2,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/29/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 68}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -36.\nDefine task_1_bound_static = 31.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-52, -53, 81, -5, 94, 56, -57, 12, -59, -81].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-81", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-35]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-81,-59,12,-57,56,94,-5,81,-53,-52,2,-35]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-81}]"}
{"id": "python/three_chain_target/29/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-70, 100, 23, 20, -59, -29, -8, 57, -47, 44]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] >= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 80.\nDefine task_2_bound_static = 82.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":30},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,81,31]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/29/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 64.\nDefine task_1_bound_static = 20.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [38, 47, -62, 79, 14, -28, 61, 39, 95, 12].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "12", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-77,-14]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[12,95,39,61,-28,14,79,-62,47,38,2,-77,-14]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":12}]"}
{"id": "python/three_chain_target/29/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 29, "target_native_task_name": "findMin:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-88, 53, -90, 29, 87, -45, -13, 82, -53, 89]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-45, 56, -70, 6, -49, -1, -61, -7, -17, -53].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    if list_3[0] <= list_3[-1]:\n        python_result_3 = list_3[0]\n        return python_result_3\n    (left, right) = (0, len(list_3) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_3[0] <= list_3[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_3 = list_3[left]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-53", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-53,-17,-7,-61,-1,-49,6,-70,56,-45,-88,53,-90,29,87,-13,82,89]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-53,-17,-7,-61,-1,-49,-70,56]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-53}]"}
{"id": "python/three_chain_target/30/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-24, 91, -77, -5, -49, -46, 65, 45, 3, -97]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_1))\n    while i < n:\n        j = i + 1\n        while j < n and list_1[j - 1] - list_1[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 71.\nDefine task_2_bound_static = 61.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,11]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/30/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-65, -7, 52, -87, 73, -52, 12, -49, 74, -41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_target_static = -66.\nTrace the execution of task_1 with inputs target = task_1_target_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], target: int) -> int:\n    list_1.sort()\n    (ans, n) = (0, len(list_1))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_1[i] + list_1[j] + list_1[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-87, 64, -41, -5, -56, 25, -93, 10, -90, 67].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "512", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":37},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-93,64,-90,-87,-56,-41,-5,10,25,67]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":512}]"}
{"id": "python/three_chain_target/30/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [24, 32, 6, -36, -75, 94, 31, -23, 41, -55]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "30", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[24,24,6,-36,-36,31,31,9,9,-55]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,3,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":30}]"}
{"id": "python/three_chain_target/30/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 53}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 34.\nDefine task_1_bound_static = 82.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "35", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,35,54]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[54,35,2]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":35}]"}
{"id": "python/three_chain_target/30/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 57}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [46, 39, -82, -12, 78, 39, 69, -13, -45, 1].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [97, -21, 46, 72, 36, 14, -50, 56, 97, -63].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "184", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":78},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-63,-50,-21,14,36,46,56,72,97,97]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":184}]"}
{"id": "python/three_chain_target/30/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 81}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-54, 3, -1, 67, -100, 52, -51, -35, 67, 15].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "260", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":18},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-54,-1,3,52,-100,67,-51,-35,67,15]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":260}]"}
{"id": "python/three_chain_target/30/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [19, -6, -28, 33, 83, -4, 88, -28, -2, -20]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "60", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,2,1,1,2,1,2,1,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[10,10,2,2,10,1,10,3,3,1]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":60}]"}
{"id": "python/three_chain_target/30/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [49, -41, -80, 53, 54, 62, -61, 88, -56, 93]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "340", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[112,104,225,252,145,29,28,1,31,68]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[25,25,52,68,68,31,31,31,68,-1]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":340}]"}
{"id": "python/three_chain_target/30/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [63, 13, 64, 21, -88, -27, -98, 0, -31, 91]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "20", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":20}]"}
{"id": "python/three_chain_target/30/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -77}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 76.\nDefine task_1_bound_static = 71.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-76,-1]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[3,2]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/30/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -85}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-96, 99, -2, 43, -69, 67, 50, -91, -45, -9].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-96,99,-2,43,-69,67,50,-91,-45,-9]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,0,1,2,1,0,0,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/30/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-39, 5, -7, -38, 59, 26, 5, 4, 41, -19]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [68, -17, 55, 50, 7, -39, -62, 23, -45, -48].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_1, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -78.\nDefine task_2_bound_static = 32.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":24},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-77,25,-54]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/30/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [21, 59, 92, 78, -85, -70, -19, 26, 50, 1]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] >= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -26.\nDefine task_2_bound_static = 31.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":28},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-25,29,2]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/30/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -80}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-79, -76, 20, -19, 37, 18, -18, 12, -28, 21].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -34.\nDefine task_2_bound_static = 78.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":37},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-33,38,3]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/30/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 71}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-19, -94, 96, 51, 92, -26, 57, 16, 83, 59].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "255", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-26,-19,16,51,57,59,83,92,96]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-94,-26,-19,16,51,57,59,83,92,96]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":255}]"}
{"id": "python/three_chain_target/30/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 30, "target_native_task_name": "maxArea:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-26, 69, 38, 72, 87, 94, 78, -15, -94, 18]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-54, 50, -62, 91, -57, 77, 11, -6, 15, -56].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (l, r) = (0, len(list_3) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_3[l], list_3[r]) * (r - l)\n        ans = max(ans, t)\n        if list_3[l] < list_3[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "200", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-56,15,-6,11,77,-57,91,-62,50,-54,-26,69,38,72,87,94,78,-15,-94,18]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-56,-54,-6,50,-62,-57,91,77,11,15]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":200}]"}
{"id": "python/three_chain_target/31/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -32}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 47.\nDefine task_1_bound_static = 10.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-31]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,2]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/31/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-93, -74, -97, 82, 92, 49, 32, -32, 23, -16]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "79", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,3,1,4,10,5,4,1,3,1]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,9,1,16,100,25,16,1,9,1]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":79}]"}
{"id": "python/three_chain_target/31/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-3, -59, -6, 67, 38, 60, 84, -67, -64, 11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [-18, -29, 96, 72, 80, -74, -73, -5, 67, -95].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_1), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_1[i]\n            i += 1\n        elif list_1[i] < nums2[j]:\n            f += list_1[i]\n            i += 1\n        elif list_1[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_1[i]\n            i += 1\n            j += 1\n    python_result_1 = max(f, g) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-13, 92, 22, 39, -73, -38, 19, 19, 66, -92].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "257", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":61},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-92,-73,-38,-13,19,19,22,39,66,92]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":257}]"}
{"id": "python/three_chain_target/31/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -59}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -36.\nDefine task_1_bound_static = 56.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [95, 89, -20, -22, 45, 29, 47, -46, -72, 60].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "276", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-35,-58,-95]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,92,87,-20,-23,42,26,47,-81,-130,-35]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":276}]"}
{"id": "python/three_chain_target/31/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [1, 79, 94, 48, -71, 84, 27, 17, -56, 71]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    list_1.sort()\n    n = len(list_1)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[i] % list_1[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_1[k] % list_1[i] == 0 and f[i] == m:\n            ans.append(list_1[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "18", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[17,1]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[17,1]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":18}]"}
{"id": "python/three_chain_target/31/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [54, -23, 44, -10, -70, -59, 50, 11, 70, 32]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "125", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-70,-59,50,11,70,32]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-70,-59,30,31,32,32]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":125}]"}
{"id": "python/three_chain_target/31/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 80}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 37.\nDefine task_1_bound_static = 100.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "121", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,38,81]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[2,38,81]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":121}]"}
{"id": "python/three_chain_target/31/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [96, 41, 24, 59, -53, 18, -72, 59, 59, 17]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [62, 2, 42, 43, 83, 35, 80, 36, -8, 44].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "427", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[44,-8,36,80,35,83,43,42,2,62,96,41,24,59,-53,18,-72,59,59,17]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[44,-8,36,80,62,2,42,43,83,35]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":427}]"}
{"id": "python/three_chain_target/31/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [33, 9, 71, -35, -46, -62, 63, -17, 76, 1]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_1:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -96.\nDefine task_2_bound_static = 49.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "13", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-95,11,-86]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":13}]"}
{"id": "python/three_chain_target/31/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [92, -45, -20, 60, 9, -32, -79, -5, -91, -10]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    list_1.sort()\n    n = len(list_1)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[i] % list_1[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_1[k] % list_1[i] == 0 and f[i] == m:\n            ans.append(list_1[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "25", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[60,-5]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[25,3600]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":25}]"}
{"id": "python/three_chain_target/31/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 1}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [49, 48, -36, 65, 100, -35, 78, 99, 16, 39].\nDefine task_1_runningCost_static = -55.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 57.\nDefine task_2_bound_static = 96.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "260", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":106},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,58,7,63,37,93]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":260}]"}
{"id": "python/three_chain_target/31/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-9, -59, 65, -35, -33, 55, 26, 29, -15, 56]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-62, 4, 69, -70, 58, -59, 100, -68, -11, 27].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "131", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,0,1,1,4,1,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[27,-11,-68,100,-59,58,-70,69,4,-62,2,1,0,1,1,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":131}]"}
{"id": "python/three_chain_target/31/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -89}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [-76, 62, 10, -91, 92, -78, 87, 61, -44, -96].\nDefine task_1_runningCost_static = -32.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [62, -68, -38, -62, -79, 65, -18, -6, -73, 78].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "119", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[62,-68,-38,-62,-79,65,-18,-6,-73,78]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":119}]"}
{"id": "python/three_chain_target/31/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [49, 11, 83, -98, -99, -87, 15, -37, 88, 2]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_1)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_1[i] - list_1[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [58, -35, 10, -80, -27, 13, 46, -26, -89, 22].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "68", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[58,-35,10,-80,-27,13,46,-26,-89,22]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":68}]"}
{"id": "python/three_chain_target/31/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 83}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 100.\nDefine task_1_bound_static = 91.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-31, -94, 41, -10, -17, 58, -60, 5, -52, 13].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "114", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,84]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-31,-95,39,-10,-18,56,-61,3,-51,95]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":114}]"}
{"id": "python/three_chain_target/31/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 31, "target_native_task_name": "maximumSum:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -41}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [0, -16, -59, -72, 7, 79, 24, 43, -4, -69].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-3, 48, -74, 2, -63, 85, 36, 57, 71, 68].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_3):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_3[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "319", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-3,48,-74,2,-63,85,36,57,68,71]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":319}]"}
{"id": "python/three_chain_target/32/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [69, -26, -62, -53, -4, 77, 31, 20, 3, -66].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "138", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-66,-62,-53,-26,-4,3,20,31,69,77]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[77,69,31,20,3,0,0,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":138}]"}
{"id": "python/three_chain_target/32/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -5}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [46, -40, 32, -75, 30, 32, 17, -60, -34, -8].\nDefine task_1_runningCost_static = -90.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [33, 18, -96, -77, 34, 70, 41, -1, -37, -30].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "102", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[33,18,-96,-77,34,70,41,-1,-37,-30]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":102}]"}
{"id": "python/three_chain_target/32/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 39}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-51, 19, 55, 26, -52, -2, -48, -8, 61, 44].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "24", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-52,-8,-2,19,-51,26,-48,44,55,61]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,3,5,1,7,1,8,9,10]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":24}]"}
{"id": "python/three_chain_target/32/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -68}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [6, 22, -8, 77, -80, -47, 7, 54, 2, -100].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "27", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[6,22,-8,77,-80,-47,7,54,2,-100]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,3,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":27}]"}
{"id": "python/three_chain_target/32/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -29}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-36, 55, -81, 6, -17, 3, 40, -73, -33, -27].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 7.\nDefine task_2_bound_static = 45.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "30", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":14},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8,15,21]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":30}]"}
{"id": "python/three_chain_target/32/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [45, -2, -41, 78, -28, 8, -48, 60, -47, 50]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-65, 4, 56, 52, 69, -25, -88, 59, 80, -17].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "156", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-65,4,56,52,69,-25,-88,59,80,-17]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":156}]"}
{"id": "python/three_chain_target/32/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [54, -63, 20, 18, -51, 17, 28, -46, -43, 84].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "84", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-87},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[54,-63,20,18,-51,17,28,-46,-43,84]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":84}]"}
{"id": "python/three_chain_target/32/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [62, 75, 82, 62, 19, -62, -45, -51, 34, 72]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 91.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-98, 17, -17, -63, 71, -40, -82, -29, 39, 40].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "78", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-62,-51,-45,19,34,62,62,72,75,82]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[40,39,-29,-82,-40,71,-63,-17,17,-98,-62,-51,-45,19,34,62,62,72,75,82]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":78}]"}
{"id": "python/three_chain_target/32/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-55, 46, -41, 88, -62, 97, -5, 32, 79, -25]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [79, -41, -71, 52, -60, 87, 35, -12, 22, 75].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [26, -20, 76, -34, 29, 30, 64, -47, -38, 41].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "96", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,21,3,-113,138,-123,181,27,17,98,48]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,25,-20,95,-32,13,65,38,32,-12,56]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":96}]"}
{"id": "python/three_chain_target/32/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-80, -84, -73, 17, 46, -1, -30, -42, -65, -61]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-80,-84,-73,-65,-61]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,3,4,5]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/32/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-53, 70, -94, 40, -69, 20, 18, 79, -57, -6]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,6,1,4,1,2,1,0,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[0,6,0,4,2,1,1,1,1,1]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/32/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [37, -84, -74, -12, 33, 94, 71, 1, -40, 52]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_1[j] * (j - i)\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-79, 62, 39, 89, 26, -36, 82, -11, 22, -83].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "186", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":697},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-83,-79,-36,-11,22,26,39,62,82,89]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":186}]"}
{"id": "python/three_chain_target/32/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 34}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -20.\nDefine task_1_bound_static = 32.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-19]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[2,0]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/32/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [8, -63, 24, -60, 13, -87, 78, 74, 34, 68]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,4,1,2,1,0,0,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-3,-2,0,0,1,1,2,2,3,4]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/32/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [86, 59, 11, 0, -3, 58, 24, 33, -41, 81]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "30", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,81,58,58,58,81,33,81,81,86]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":30}]"}
{"id": "python/three_chain_target/32/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 32, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [32, 88, -34, 26, 85, -95, -5, -46, 63, -5]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [46, -27, -90, -55, -17, -82, 44, 41, 24, -85].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "88", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[41,-27,-90,-55,-17,-85,44,46,24,-82]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":88}]"}
{"id": "python/three_chain_target/33/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [68, 11, -65, -26, 49, 22, -72, 51, 43, -19]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_1)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_1[0]\n    for (i, v) in enumerate(list_1):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 22.\nDefine task_2_bound_static = 96.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -14.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":2727},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,23,28,49]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/33/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -39}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-61, -19, 72, -46, -25, 30, -90, 51, 20, -74].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-73, -25, 35, 86, 26, 2, -22, -16, -79, -57].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -18.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":72},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-79,-73,-57,-25,-22,-16,2,26,35,86]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/33/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [76, 15, -12, 58, 52, 9, -3, -98, 49, 77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_1[j] > list_1[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-65, 40, 88, 81, 58, -1, -93, 3, 94, 28].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 48.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-65,40,88,81,58,-1,-93,3,94,28]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/33/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [40, 87, 46, -66, 81, -70, -30, -18, 96, -66]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 12.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    if list_1[0] > k:\n        python_result_1 = k\n        return python_result_1\n    (left, right) = (0, len(list_1))\n    while left < right:\n        mid = left + right >> 1\n        if list_1[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = list_1[left - 1] + k - (list_1[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -64.\nDefine task_2_bound_static = 48.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -55.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":12},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-63,13,-52]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/33/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 10}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [60, -52, -34, -60, 36, 4, 16, 84, -45, -6].\nDefine task_1_passengers_static = [0, 12, 28, 52, 94, -59, -16, 87, 7, -61].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-42, -24, -75, -61, 25, -88, -66, 64, -100, 34].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -61.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":84},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-100,-88,-75,-66,-61,-42,-24,25,34,64]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/33/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -71.\nDefine task_1_energy_static = [-25, -76, 71, -76, -77, -50, -55, -72, 90, -49].\nDefine task_1_experience_static = [11, 59, 59, 21, 14, 44, -62, -7, -73, -95].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-42, -67, 26, -4, 82, 50, -75, 71, -34, -16].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -76.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":120},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-42,-75,26,-34,71,50,-67,82,-16,-4]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/33/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-25, 100, 11, 33, 7, 13, 79, 2, -43, 33]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] >= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_1[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -57.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[79,13,7,7,7,2,0,0,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[0,0,0,0,2,7,7,7,13,79]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/33/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-60, -99, 59, -57, -36, 63, -68, 64, -71, -41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -67.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    (ans, y) = (1, list_1[0])\n    for x in list_1[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-51, -28, -6, -73, -37, -94, 73, -99, 7, -58].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -6.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-58,-28,-6,-73,-37,-99,73,-94,7,-51]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/33/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-83, 67, -68, 2, 78, -51, -90, -98, 25, 4].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-43, 42, -99, 50, 4, 1, -100, 3, 70, 31].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 53.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-43,42,-100,50,1,3,-99,4,70,31]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/33/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-20, 11, 32, -72, -11, 20, -7, -21, 75, 40]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 86.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/33/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 62}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [40, -56, 94, 63, 41, -34, -95, 81, -4, 31].\nDefine task_1_runningCost_static = -75.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-53, -67, -13, -46, -92, 88, -66, 81, -71, -85].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 18.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":47},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-92,-85,-71,-67,-66,81,-53,88,-46,-13]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/33/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-84, -54, -25, -16, -2, 67, 78, 16, -3, -73]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 58.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    list_1.sort()\n    n = len(list_1)\n    m = n >> 1\n    ans = abs(list_1[m] - k)\n    if list_1[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_1[i] <= k:\n                break\n            ans += list_1[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_1[i] >= k:\n                break\n            ans += k - list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [49, -24, 27, 59, 2, 63, -75, 83, 33, -41].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -95.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":163},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-75,-41,-24,2,27,33,49,59,63,83]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/33/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 66}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [77, -86, 28, -31, -89, 13, -94, -49, -83, 41].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 0.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-89,-86,-83,-49,-31,13,28,41,77]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[179,4,179,348,480,560,578,537,468,350]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/33/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-23, -58, 16, 36, -17, 76, -1, -26, 13, -89]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -99.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[44,25,8,7,20,31,40,47,52]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/33/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [10, -9, -16, -9, -58, -8, -15, -44, -24, -85]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    g = []\n    for x in list_1:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_1 = len(g)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [47, 37, -69, -79, 41, 72, 17, 85, 4, -85].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -79.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[37,41,-69,-85,47,72,17,85,4,-79]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/33/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 33, "target_native_task_name": "findWinningPlayer:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -73}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-18, 24, -82, 3, -20, 13, -64, 94, -28, 94].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [65, 84, -58, -10, -19, 73, 99, -84, -42, 36].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 3.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    n = len(list_3)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_3[i] < list_3[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-18,24,-82,3,-20,13,-64,94,-28,94]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,44,106,-140,-7,-40,83,32,8,-71,128]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/34/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -92}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -33.\nDefine task_1_bound_static = 57.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_2[i]\n        while stk and list_2[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_2)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [11, 31, 69, -88, -23, -67, -98, -48, 78, -20].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-32,-91,-125]},{\"node_id\":\"task_2\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/34/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [15, -58, -7, -20, -64, 2, -41, -83, -13, 43]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = 96.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    list_2.sort()\n    n = len(list_2)\n    m = n >> 1\n    ans = abs(list_2[m] - k)\n    if list_2[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_2[i] <= k:\n                break\n            ans += list_2[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_2[i] >= k:\n                break\n            ans += k - list_2[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [4, 48, -39, -23, 86, 55, -62, 25, -17, 9].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[15,-20,-20,-20,-31,-31,-41,-41,-13,43]},{\"node_id\":\"task_2\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":475},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":4}]"}
{"id": "python/three_chain_target/34/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 64}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [17, 48, 42, -64, -92, 55, 45, -30, -95, -62].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-81, -66, 72, 87, 96, -21, -13, 7, -83, -23].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_2 = 1\n            return python_result_2\n        if x * y <= val_2:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [20, -96, 67, 49, 74, -70, 68, 17, 94, 60].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/34/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -67}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [62, 43, -15, -61, -48, -24, 26, -93, 10, 37].\nDefine task_1_runningCost_static = 54.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [-28, 72, -34, -4, -55, -73, -28, 77, -71, -48].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [30, 60, -23, 74, -80, 55, 69, 32, 77, 81].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":9}]"}
{"id": "python/three_chain_target/34/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-34, 46, 61, 13, -78, -76, 10, 33, 39, 13]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [93, -96, -67, 85, 6, 70, -44, 88, 27, 97].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = 24.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    if list_2[0] > k:\n        python_result_2 = k\n        return python_result_2\n    (left, right) = (0, len(list_2))\n    while left < right:\n        mid = left + right >> 1\n        if list_2[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = list_2[left - 1] + k - (list_2[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [-96, -89, -38, -55, 68, 91, -58, 6, 85, -97].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,57,-50,-7,96,-72,-6,-35,118,63,108]},{\"node_id\":\"task_2\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":26},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/34/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [92, 34, 38, 40, -92, -37, -29, -80, 100, 48]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-3, 70, -73, -58, -64, -81, 24, 54, 20, 93].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_initialEnergy_static = -88.\nDefine task_2_initialExperience_static = -85.\nDefine task_2_experience_static = [-97, 71, -7, 55, -23, 15, -100, -66, 40, -78].\nTrace the execution of task_2 with inputs initialEnergy = task_2_initialEnergy_static, initialExperience = task_2_initialExperience_static, experience = task_2_experience_static.\n```python\nfrom typing import List\ndef task_2(initialEnergy: int, initialExperience: int, list_2: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_2)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_2 = energy_hours + exp_hours\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [-98, 37, 0, -27, -84, -13, 93, 5, 89, 0].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,86,102,-35,-18,-156,-118,-5,-27,17,139]},{\"node_id\":\"task_2\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":298},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6}]"}
{"id": "python/three_chain_target/34/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [47, -38, 43, -30, 62, -66, 51, 84, -73, 100]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    k = 3\n    n = len(list_2)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_2[i % n] == list_2[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [-29, -25, -6, 37, -89, -25, -92, 20, -98, -70].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/34/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 67}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-75, -16, 53, 10, 18, -26, 22, 43, -8, -44].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    if list_2[0] <= list_2[-1]:\n        python_result_2 = list_2[0]\n        return python_result_2\n    (left, right) = (0, len(list_2) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_2[0] <= list_2[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_2 = list_2[left]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [18, -74, -54, 67, -84, -18, -52, 73, -6, 71].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-75,-44,-26,-16,-8,10,18,22,43,53]},{\"node_id\":\"task_2\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-75},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":7}]"}
{"id": "python/three_chain_target/34/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [29, 28, -73, 90, 75, 23, -7, 77, 86, -26]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 18.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [94, -29, 22, -9, -87, 58, 3, 13, -61, 74].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_2), sum(nums2))\n    python_result_2 = max(s2 + f(list_2, nums2), s1 + f(nums2, list_2))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [62, -7, -48, 92, 62, 72, -2, -21, 24, 79].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[23,28,-73,75,77,29,-7,86,90,-26]},{\"node_id\":\"task_2\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":511},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/34/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [11, 59, -17, -53, 66, -29, -78, 84, -78, 58]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_1):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_initialExperience_static = 37.\nDefine task_2_energy_static = [-69, -38, 47, 85, 73, -42, 0, 25, 94, -67].\nDefine task_2_experience_static = [8, 34, -99, -71, 84, 3, -88, -90, -32, 68].\nTrace the execution of task_2 with inputs initialExperience = task_2_initialExperience_static, energy = task_2_energy_static, experience = task_2_experience_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_2)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_2 = energy_hours + exp_hours\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [39, -82, 77, 58, -8, -42, 25, 86, 56, 33].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":387},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":7}]"}
{"id": "python/three_chain_target/34/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [8, 28, -77, 25, 69, -92, -56, 91, 99, 2]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_1[j] * (j - i)\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_customers_static = [21, -73, -77, -3, 27, 80, 41, -58, 76, -36].\nDefine task_2_runningCost_static = -51.\nTrace the execution of task_2 with inputs customers = task_2_customers_static, runningCost = task_2_runningCost_static.\n```python\nfrom typing import List\ndef task_2(customers: List[int], val_2: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_2 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [-14, 62, -45, 76, 93, 25, -86, 14, 21, -62].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":794},{\"node_id\":\"task_2\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":37},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":4}]"}
{"id": "python/three_chain_target/34/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-71, 20, -2, 96, 33, -16, 66, -61, -62, 45]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-45, 92, -50, -3, 12, -49, 62, -72, 27, 48].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_2)\n    if nums[m] > val_2:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_2:\n                break\n            ans += nums[i] - val_2\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_2:\n                break\n            ans += val_2 - nums[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [-96, 47, -66, 97, -54, -34, 47, -96, -70, -40].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/34/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [1, -95, 57, -90, 76, 67, -65, 56, 12, -99]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_2):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_2[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [-3, 52, -14, 84, 90, 25, -6, 67, -52, 34].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[12,56,76,-90,57,67,-65,-95,1,-99]},{\"node_id\":\"task_2\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":268},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":4}]"}
{"id": "python/three_chain_target/34/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [13, -82, 71, -45, 72, -48, -15, -88, -29, 17]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 52.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_2):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_2[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [56, 61, 91, -1, -28, -60, -71, -75, 48, -29].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-88,-82,71,-48,72,-45,-29,-15,13,17]},{\"node_id\":\"task_2\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":143},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/34/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-57, 60, 88, 44, -8, 49, -61, -17, 38, -10]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    g = []\n    for x in list_1:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_1 = len(g)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [10, 40, -55, -33, -3, -28, 4, 3, 75, -1].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [62, 31, 68, 96, 26, 2, -21, -57, 66, -55].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":40},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/34/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 34, "target_native_task_name": "findWinningPlayer:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-12, 38, -31, -4, 15, 37, 73, -7, 1, -19].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (left, right) = (0, len(list_2) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_2[mid] > list_2[right]:\n            left = mid + 1\n        elif list_2[mid] < list_2[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_2 = list_2[left]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_skills_static = [83, -93, 89, 89, -5, 11, -93, -33, -41, 96].\nTrace the execution of task_3 with inputs skills = task_3_skills_static.\n```python\nfrom typing import List\ndef task_3(skills: List[int], val_3: int) -> int:\n    n = len(skills)\n    val_3 = min(val_3, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-12,38,-31,-4,15,37,73,-7,1,-19]},{\"node_id\":\"task_2\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-19},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":9}]"}
{"id": "python/three_chain_target/35/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [91, -93, -30, -6, 66, 34, 73, -90, 25, 10]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -75.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 49.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "510", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[91,-93,-30,-6,66,34,73,-90,25,10]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":510}]"}
{"id": "python/three_chain_target/35/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -45}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 53.\nDefine task_2_bound_static = 48.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -4.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-54},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-53,-1]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/35/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [10, -70, 51, 56, 7, 38, 40, -30, 76, -54]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (l, r) = (0, len(list_1) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_1[l], list_1[r]) * (r - l)\n        ans = max(ans, t)\n        if list_1[l] < list_1[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 38.\nDefine task_2_bound_static = 86.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 99.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "20097", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":306},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,39,7,44,37,74]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":20097}]"}
{"id": "python/three_chain_target/35/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 75}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -90.\nDefine task_2_bound_static = 56.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -71.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "14", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":13},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-89,14,-77]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":14}]"}
{"id": "python/three_chain_target/35/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [20, -62, 73, 78, 37, -83, 82, 3, 40, -45]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 20.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "420", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,1,3,2,1,0,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,1,0,0,1,4,9,1,1,4]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":420}]"}
{"id": "python/three_chain_target/35/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [24, 50, -59, -72, -49, 95, 48, 67, 51, -95]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -98.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    n = len(list_1)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_1[i] < list_1[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-64, 16, 82, -28, 42, 23, 12, 64, -62, 62].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -27.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "358", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-64,12,82,-28,42,23,16,62,-62,64]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":358}]"}
{"id": "python/three_chain_target/35/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 14}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 23.\nDefine task_1_bound_static = 29.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [80, -71, 30, -67, 0, 12, 1, -30, 24, -17].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 79.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "80", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,24,15]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,78,-72,28,-66,1,10,1,-29,46,-2]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":80}]"}
{"id": "python/three_chain_target/35/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [25, -79, -11, -13, 19, -42, 96, -58, 85, 49].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 45.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "1440", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[25,-79,-11,-13,19,-42,96,-58,85,49]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[6,1,3,1,5,1,10,1,3,1]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":1440}]"}
{"id": "python/three_chain_target/35/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -7}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [76, -10, -80, 57, -47, 90, 80, -62, 18, -5].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 49.\nDefine task_2_bound_static = 55.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 81.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4941", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,50,9]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":4941}]"}
{"id": "python/three_chain_target/35/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 73}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [38, -10, 4, -93, 66, -21, 98, -42, -34, -47].\nDefine task_1_capacityB_static = -53.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -65.\nDefine task_2_bound_static = 71.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -10.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "28", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-64,4,-62,10,-56,28,-38]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":28}]"}
{"id": "python/three_chain_target/35/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-6, 89, 99, 73, -40, -79, 86, 75, 45, 2]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 76.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 67.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3618", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,3,4,5,6,7,8,9,10]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":3618}]"}
{"id": "python/three_chain_target/35/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 81}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [64, -87, -63, 7, 2, -12, 3, 95, 56, -54].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [51, 81, -44, 80, -79, -62, 49, 100, -41, 53].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -51.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "254", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[49,80,-44,81,-79,-62,51,100,-41,53]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":254}]"}
{"id": "python/three_chain_target/35/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-78, 90, -28, 81, -86, 48, 12, 98, -95, -46]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_1))\n    while i < n:\n        j = i + 1\n        while j < n and list_1[j - 1] - list_1[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 65.\nDefine task_2_bound_static = 68.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -23.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "158", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,66,11]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":158}]"}
{"id": "python/three_chain_target/35/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-5, -18, 25, 19, 56, 75, 100, 22, -31, -13]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = -58.\nDefine task_1_capacityB_static = 70.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -45.\nDefine task_2_bound_static = 24.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -56.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-44,6,-40]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/35/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-21, -73, -9, 54, -5, -85, -63, 62, -92, 51]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -28.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "918", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-92,62,54,-9,-5,-85,-63,-73,-21,51]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[89,59,175,220,206,116,32,168,262,232]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":918}]"}
{"id": "python/three_chain_target/35/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 35, "target_native_task_name": "kConcatenationMaxSum:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 93}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [79, 75, -24, 89, -72, -76, -27, -48, 81, 54].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-19, 13, -69, -16, 57, -35, 69, -20, -39, 77].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 10.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_3:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "275", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-20,13,-69,-19,57,-39,69,-16,-35,77]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":275}]"}
{"id": "python/three_chain_target/36/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -5}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [4, -47, 30, 88, -64, 31, -20, -2, -60, 5].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_2:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_2:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-1, -22, -62, -15, 71, -7, -7, -15, -97, 26].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "71", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-5},{\"node_id\":\"task_2\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":71}]"}
{"id": "python/three_chain_target/36/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -88}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-75, -50, -17, 58, 38, 56, -15, 13, -61, -28].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_s_static = [-34, -46, 60, -44, 1, 60, 38, -61, -70, 97].\nTrace the execution of task_2 with inputs s = task_2_s_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], s: List[int]) -> int:\n    list_2.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_2):\n        while j < len(s) and s[j] < list_2[i]:\n            j += 1\n        if j >= len(s):\n            python_result_2 = i\n            return python_result_2\n        j += 1\n    python_result_2 = len(list_2)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [93, 50, 51, 16, -13, -26, 48, -86, 49, 74].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2048", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-75,-50,-17,58,38,56,-15,13,-61,-28]},{\"node_id\":\"task_2\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":2048}]"}
{"id": "python/three_chain_target/36/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 41}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 16.\nDefine task_1_bound_static = 81.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_2)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_2[0]\n    for (i, v) in enumerate(list_2):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-24, 53, 11, 88, -40, -72, 11, 51, -38, 95].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2454", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,17,42,57]},{\"node_id\":\"task_2\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":118},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":2454}]"}
{"id": "python/three_chain_target/36/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 21}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [18, 6, 86, 11, 26, 53, -96, 96, 38, 98].\nDefine task_1_capacityB_static = -35.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-48, 19, 41, 35, -33, 46, -62, -97, 90, 63].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-60, -11, 69, -44, -36, -60, -88, 87, -14, 73].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "146", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":90},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":146}]"}
{"id": "python/three_chain_target/36/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 94}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [-69, -36, -67, -100, -31, 33, 86, -5, 98, -50].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-91, -62, 57, -68, 71, -69, 83, -93, 20, 82].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-85, -74, -44, -28, -21, 19, -82, -41, -70, -12].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":83},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":19}]"}
{"id": "python/three_chain_target/36/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -98}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-48, -84, -73, -10, -23, 70, 36, -25, -66, -29].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [70, -43, -27, 26, 73, -91, -59, 28, -39, -17].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [52, 68, -21, -32, -62, 22, -90, 39, -36, 4].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "127", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":51},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":51},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":127}]"}
{"id": "python/three_chain_target/36/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 33}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -13.\nDefine task_1_bound_static = 27.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = -67.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_2:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_2 = ans % mod\n        return python_result_2\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_2 = ans % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-7, 84, 1, -39, -55, -38, 93, 63, -47, 22].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "233", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-12]},{\"node_id\":\"task_2\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":233}]"}
{"id": "python/three_chain_target/36/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-10, -24, 51, -35, -44, 64, -3, -1, -69, -9]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_2 = sum((f(x) for x in list_2))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [62, -11, 39, -15, 69, -92, -67, -34, -78, -90].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "144", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[51,51,64,64,64,-1,-1,51,-9,51]},{\"node_id\":\"task_2\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":288},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":144}]"}
{"id": "python/three_chain_target/36/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-9, 54, -52, 4, -95, -72, 7, 59, 22, -76]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_1[j] * (j - i)\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_tokens_static = [-71, -50, 38, 90, 80, -5, -10, 13, 2, -88].\nTrace the execution of task_2 with inputs tokens = task_2_tokens_static.\n```python\nfrom typing import List\ndef task_2(tokens: List[int], val_2: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_2 >= tokens[i]:\n            val_2 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_2 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [42, -43, -7, 19, 37, 75, -81, 75, -91, 49].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "806", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":359},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":806}]"}
{"id": "python/three_chain_target/36/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -90}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    s = list(str(val_2))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_2 = int(''.join(s))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-78, -10, -89, 45, 89, 67, 68, -71, -60, -24].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "269", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-89},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-89},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":269}]"}
{"id": "python/three_chain_target/36/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -74}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-64, -17, -71, -7, -17, -66, -51, 31, -30, -31].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_s_static = [-4, 7, -68, -61, -40, 44, 88, 59, 44, 16].\nTrace the execution of task_2 with inputs s = task_2_s_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], s: List[int]) -> int:\n    list_2.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_2):\n        while j < len(s) and s[j] < list_2[i]:\n            j += 1\n        if j >= len(s):\n            python_result_2 = i\n            return python_result_2\n        j += 1\n    python_result_2 = len(list_2)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-17, 44, -28, 16, -68, 26, 12, 76, 63, 18].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "1473", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-64,-17,-71,-7,-17,-66,-51,31,-30,-31]},{\"node_id\":\"task_2\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":1473}]"}
{"id": "python/three_chain_target/36/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -45}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_initialExperience_static = 19.\nDefine task_2_energy_static = [-23, 53, -66, -30, -80, -49, 98, 28, -4, -79].\nDefine task_2_experience_static = [-34, -29, 33, -66, -91, -97, 58, -56, -58, -77].\nTrace the execution of task_2 with inputs initialExperience = task_2_initialExperience_static, energy = task_2_energy_static, experience = task_2_experience_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_2)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_2 = energy_hours + exp_hours\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-48, -93, -95, -23, -34, -50, -22, 4, 55, -65].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "59", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-45},{\"node_id\":\"task_2\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":324},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":59}]"}
{"id": "python/three_chain_target/36/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -73}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [35, 25, 37, -4, 12, -77, 42, 87, -9, -73].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_2)\n    list_2.sort()\n    idx = {v: i for (i, v) in enumerate(list_2)}\n    f = [1] * n\n    for (i, a) in enumerate(list_2):\n        for j in range(i):\n            b = list_2[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_2 = sum(f) % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [50, 93, -100, -82, 73, 61, -18, 25, -20, 63].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "1489", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[35,25,37,-4,12,-77,42,87,-9,-73]},{\"node_id\":\"task_2\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":1489}]"}
{"id": "python/three_chain_target/36/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-18, 47, 1, 23, -7, -56, -45, -89, -24, -75]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-96, 64, -3, 54, -25, 47, 3, -94, -81, 6].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (i, j) = (0, len(list_2) - 1)\n    (a, b) = (list_2[i], list_2[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_2[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_2[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_2[i], list_2[j])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [9, -51, -72, 77, 90, 39, -74, 55, 62, -32].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "1073", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-115,109,-3,75,-32,-9,-42,-183,-105,-69]},{\"node_id\":\"task_2\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":1073}]"}
{"id": "python/three_chain_target/36/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 98}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [76, 9, -84, 78, -54, -49, -80, 13, -75, 24].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_2[1:]):\n        if list_2[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_2[1:]):\n        if list_2[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [13, 36, -29, 65, 76, 77, -23, 76, -55, 12].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2523", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-84,-80,-75,-54,-49,9,13,24,76,78]},{\"node_id\":\"task_2\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":2523}]"}
{"id": "python/three_chain_target/36/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 36, "target_native_task_name": "kConcatenationMaxSum:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -74}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 99.\nDefine task_1_bound_static = 56.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = 19.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    mx = list_2[0]\n    cnt = 0\n    for x in list_2[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-70, 36, 45, -89, -69, 100, 80, 93, -68, -25].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_3 == 1:\n        python_result_3 = ans % mod\n        return python_result_3\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_3 - 2) * s + mx_pre + mx_suf)\n    python_result_3 = ans % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "1065", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-73,25]},{\"node_id\":\"task_2\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":25},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":1065}]"}
{"id": "python/three_chain_target/37/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [74, -47, 59, 69, 50, 45, -83, 0, -34, 56]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = 88.\nDefine task_3_capacityB_static = -46.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[115,88,76,52,171,266,228,145,111,133]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/37/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 53}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [32, 36, 94, -3, 59, 87, -52, 30, -39, 62].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-46, -61, -28, 19, -14, 66, -95, 5, 38, -77].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = 3.\nDefine task_3_capacityB_static = 18.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":16218},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-77,-61,5,-46,66,-28,19,38,-14]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/37/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-98, 87, -57, -28, 4, 29, 85, -18, -28, -77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-22, -40, -100, -26, -3, -51, 7, 81, 12, 24].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = 76.\nDefine task_3_capacityB_static = -37.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-121,45,-157,-54,1,-23,89,61,-16,-53]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,5,1,1,2,1,0,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/37/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 64}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 77.\nDefine task_1_bound_static = 92.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -52.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = -73.\nDefine task_3_capacityB_static = -37.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,78,65]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,78,65]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/37/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-19, -74, -62, 37, 11, 9, 39, 72, 69, -17].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = 73.\nDefine task_3_capacityB_static = -58.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-74,-62,-19,-17,9,11,37,39,69,72]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-74,-62,-19,-17,9,11,37,39,69,72]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/37/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-61, -35, -49, 26, -92, 61, 69, -31, 42, -15]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_1[j] > list_1[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [10, -58, -81, 44, 56, -16, -9, -30, -18, -29].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = -67.\nDefine task_3_capacityB_static = -47.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[10,-58,-81,44,56,-18,-16,-30,-9,-29]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/37/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -5}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [40, 86, 59, 95, -50, 34, 15, 63, 57, 89].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = -39.\nDefine task_3_capacityB_static = 86.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[40,86,59,95,-50,34,15,63,57,89]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/37/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [21, 39, 96, -28, 41, -24, 71, 43, 55, -35]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = 0.\nDefine task_3_capacityB_static = -66.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,10,1,3,1,7,1,3,1]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[2,10,-1,3,7,7,10,3,10,2]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/37/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-12, 32, -19, -94, 8, 74, 51, -5, 62, 33]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = 65.\nDefine task_3_capacityB_static = -84.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-12,32,62,-94,8,74,51,-5,-19,33]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[142,122,28,60,146,64,61,107,83,97]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/37/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-8, -47, 98, 47, -65, 87, -62, 34, 23, 1]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -19.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_1:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -43.\nDefine task_2_bound_static = 82.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = 18.\nDefine task_3_capacityB_static = -1.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":275},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-42,76,32]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/37/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [85, -69, -97, 95, 12, -36, 30, 92, 89, -77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_1, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_1[i]:\n            right[i] = right[i + 1] + 1\n    python_result_1 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 2.\nDefine task_2_bound_static = 27.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = -37.\nDefine task_3_capacityB_static = -88.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,3,5,9,17,10,11,13,17,25]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/37/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [95, 94, 48, 81, -8, 66, -45, 95, 3, 29]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_trainers_static = [55, -63, 95, -44, -6, -91, 94, -59, 88, -91].\nTrace the execution of task_1 with inputs trainers = task_1_trainers_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], trainers: List[int]) -> int:\n    list_1.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_1):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_1 = i\n            return python_result_1\n        j += 1\n    python_result_1 = len(list_1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 35.\nDefine task_2_bound_static = 44.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = -50.\nDefine task_3_capacityB_static = 1.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,36,7,41,37]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/37/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -54}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-69, 16, 30, -21, 65, -4, -70, -55, -5, -57].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = -27.\nDefine task_3_capacityB_static = 16.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-69,16,30,-21,65,-4,-70,-55,-5,-57]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[101,48,94,103,147,208,134,9,51,113]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/37/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 81}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [-47, -20, 82, 31, 45, -53, -8, 85, 57, 15].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-17, 42, 32, 31, 56, 59, 61, -53, 74, -99].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = -40.\nDefine task_3_capacityB_static = -100.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-17,42,31,32,56,59,61,-53,74,-99]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/37/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-71, -93, -87, -1, 38, 8, -60, 37, 81, -78]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [-61, 16, -94, 79, -81, 49, -67, 95, -68, 58].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_1), sum(nums2))\n    python_result_1 = max(s2 + f(list_1, nums2), s1 + f(nums2, list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-12, -49, -9, 60, -62, -67, -68, 28, 99, 16].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = 82.\nDefine task_3_capacityB_static = -92.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":102},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-12,-49,-9,60,-62,-68,-67,28,99,16]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/37/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 37, "target_native_task_name": "minimumRefill:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [7, -63, -89, -61, 82, -47, -30, -3, 11, 61]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_1[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [94, 46, 7, 89, 41, 84, -46, -13, 87, 24].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_capacityA_static = -25.\nDefine task_3_capacityB_static = 8.\nTrace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i < j:\n        if a < list_3[i]:\n            ans += 1\n            a = capacityA\n        a -= list_3[i]\n        if b < list_3[j]:\n            ans += 1\n            b = capacityB\n        b -= list_3[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":82},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-46,-13,7,24,41,46,84,87,89,94]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/38/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 42}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [22, -37, 32, 48, -84, -25, -21, -34, 3, -84].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [25, -77, -7, 96, 64, 65, -75, -59, 77, -98].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [33, -47, -13, 31, -17, 84, -78, 11, 66, 76].\nDefine task_3_capacityB_static = -72.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/38/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 30}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_buses_static = [-91, -46, 16, 91, -46, -51, 1, 61, -18, 81].\nDefine task_2_passengers_static = [-78, 36, 46, 15, -74, 91, -66, -76, -32, -42].\nTrace the execution of task_2 with inputs buses = task_2_buses_static, passengers = task_2_passengers_static.\n```python\nfrom typing import List\ndef task_2(buses: List[int], passengers: List[int], val_2: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_2\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [67, -43, -37, 41, -53, 63, 15, -79, -13, 74].\nDefine task_3_capacityB_static = -78.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":29},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":90},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":4}]"}
{"id": "python/three_chain_target/38/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 27}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-47, 1, 45, 38, -83, -69, -18, -16, -72, -95].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [19, 82, -37, -20, 31, -4, 74, 47, 83, -66].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_2)\n    if nums[m] > val_2:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_2:\n                break\n            ans += nums[i] - val_2\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_2:\n                break\n            ans += val_2 - nums[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [26, 7, -79, 85, -58, -36, 52, 81, 19, 22].\nDefine task_3_capacityB_static = -43.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":37},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":9}]"}
{"id": "python/three_chain_target/38/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [1, 45, -72, -14, 0, 67, 6, 54, 73, 23]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 44.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_2[i] > list_2[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_2[i] > list_2[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_2 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [13, -93, 79, -33, -6, 65, 61, -22, -42, 9].\nDefine task_3_capacityB_static = -59.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-14,0,-72,1,6,23,45,54,67,73]},{\"node_id\":\"task_2\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":39},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":4}]"}
{"id": "python/three_chain_target/38/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [62, 82, -77, -96, -24, 17, -19, 32, 18, -10]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_2 = sum((f(x) for x in list_2))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [-20, -11, 95, -21, 93, 84, -70, -12, -68, -29].\nDefine task_3_capacityB_static = 18.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":45},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/38/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [76, -7, 32, -49, -38, -7, -71, -28, 15, -76].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_2, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_2[i]:\n            right[i] = right[i + 1] + 1\n    python_result_2 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [43, 85, 52, 70, -8, -1, 43, -42, 9, 37].\nDefine task_3_capacityB_static = 68.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[76,-7,32,-49,-38,-7,-71,-28,15,-76]},{\"node_id\":\"task_2\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/38/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-29, 86, 100, 62, -74, 26, 83, 84, 37, -8]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 69.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    mx = list_1[0]\n    cnt = 0\n    for x in list_1[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [10, -62, -41, 14, 100, 42, -40, -22, -27, -50].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [-31, -36, 60, -87, -22, 46, 76, -4, -28, 37].\nDefine task_3_capacityB_static = -26.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":86},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":96},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":4}]"}
{"id": "python/three_chain_target/38/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-95, -1, 22, 48, -95, -68, 56, -86, 46, 87]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 35.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_2)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_2[0]\n    for (i, v) in enumerate(list_2):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [-90, -100, 62, 52, 84, -72, -66, -18, 42, 54].\nDefine task_3_capacityB_static = -57.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-95,-1,22,46,-95,-86,48,-68,56,87]},{\"node_id\":\"task_2\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":10541},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/38/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-61, 93, -77, -22, -10, 71, 80, 62, 41, -79]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (left, right) = (0, len(list_2) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_2[mid] > list_2[right]:\n            left = mid + 1\n        elif list_2[mid] < list_2[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_2 = list_2[left]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [45, -54, 48, 65, 79, 85, -22, -95, -29, 45].\nDefine task_3_capacityB_static = 83.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-61,93,71,80]},{\"node_id\":\"task_2\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":71},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/38/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -80}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [5, -38, -97, 37, 32, 75, 10, -68, 77, -79].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [52, 73, -28, 28, 63, -23, 47, 38, -58, -3].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_2, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [57, 43, 54, -68, -11, 58, -8, -18, -86, 73].\nDefine task_3_capacityB_static = 98.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[5,-38,-97,37,32,75,10,-68,77,-79]},{\"node_id\":\"task_2\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":15},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/38/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -86}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 100.\nDefine task_1_energy_static = [67, -49, -36, -8, -17, 75, 85, 4, -96, -45].\nDefine task_1_experience_static = [66, 35, 42, 17, -43, 19, 44, -65, 92, -95].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-61, 21, -98, -27, -39, 79, -21, 2, 12, 29].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [26, -38, -95, 45, 69, 72, 8, 57, -7, 54].\nDefine task_3_capacityB_static = 82.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":67},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":79},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/38/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-50, 93, 97, 29, -72, 26, -49, 57, -45, -79]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_1):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_1[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    while 1:\n        (t, s, i) = (val_2, 0, 2)\n        while i <= val_2 // i:\n            while val_2 % i == 0:\n                val_2 //= i\n                s += i\n            i += 1\n        if val_2 > 1:\n            s += val_2\n        if s == t:\n            python_result_2 = t\n            return python_result_2\n        val_2 = s\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [93, 6, 98, -89, -93, -30, -43, -49, -64, -76].\nDefine task_3_capacityB_static = 35.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":253},{\"node_id\":\"task_2\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":53},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/38/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -12}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    s = list(str(val_2))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_2 = int(''.join(s))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [-35, -14, -83, 8, 51, -52, -51, -99, -29, 94].\nDefine task_3_capacityB_static = -91.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-12},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-12},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/38/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -3}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [-67, -83, -94, 73, 75, -75, 83, 54, 34, 34].\nDefine task_1_passengers_static = [-87, -93, 58, -49, 23, 9, -86, -15, 64, -32].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_customers_static = [-1, -72, 99, 9, -58, -81, 24, 39, 31, 96].\nDefine task_2_runningCost_static = 0.\nTrace the execution of task_2 with inputs customers = task_2_customers_static, runningCost = task_2_runningCost_static.\n```python\nfrom typing import List\ndef task_2(customers: List[int], val_2: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_2 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [51, -41, 100, -76, -13, 44, -28, 53, 45, -69].\nDefine task_3_capacityB_static = -33.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":83},{\"node_id\":\"task_2\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":54},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/38/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -63}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -59.\nDefine task_1_bound_static = 11.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_2[0] > 0)\n    g[0] = int(list_2[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_2[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_2[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [14, -79, 15, -84, 43, -82, -49, 7, 72, 5].\nDefine task_3_capacityB_static = 7.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-58,-62,-122]},{\"node_id\":\"task_2\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/38/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 38, "target_native_task_name": "minimumRefill:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [20, -24, -1, -82, 24, -41, -87, 33, -43, 86]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_2[l] > list_2[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_2[j] > list_2[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_2[i] < list_2[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_2[j] > list_2[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_2 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_plants_static = [94, -84, 99, 30, -80, -54, 41, 14, -82, 0].\nDefine task_3_capacityB_static = 76.\nTrace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.\n```python\nfrom typing import List\ndef task_3(plants: List[int], val_3: int, capacityB: int) -> int:\n    (a, b) = (val_3, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_3\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,576,400,6724,576,1681,7569,1089,1849,7396]},{\"node_id\":\"task_2\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":28},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/39/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -44}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-76, 50, 49, -88, 58, 26, -26, 78, -69, 49].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-44},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-76,50,49,-88,58,26,-26,78,-69,49]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/39/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-38, -17, 76, 77, -11, 82, -42, 94, 45, 92]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-42, 30, -8, 36, 42, 40, 28, -29, -8, 72].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,3,5,1,7,1,10,1,2]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-42,30,-6,38,40,44,27,-19,-8,72]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/39/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-97, -55, 4, -64, 71, -59, -44, 61, 79, 19]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-61, -100, -71, 87, -28, 50, 38, -20, -62, 43].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_1[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_1[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_1 = m\n                return python_result_1\n    python_result_1 = max((f[i][i] + (list_1[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [35, -16, -73, -75, -74, -69, -53, -25, -56, -74].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[35,-16,-75,-74,-74,-69,-56,-25,-53,-73]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/39/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-55, 10, -61, -85, -92, -36, -47, -46, -88, 64]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_passengers_static = [62, -15, -95, 25, 48, 80, -21, -37, 1, 87].\nDefine task_1_capacity_static = -9.\nTrace the execution of task_1 with inputs passengers = task_1_passengers_static, capacity = task_1_capacity_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], passengers: List[int], capacity: int) -> int:\n    list_1.sort()\n    passengers.sort()\n    j = 0\n    for t in list_1:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_1[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [3, 57, -63, -38, -50, 63, 42, 32, -12, -25].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":64},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-63,-50,-38,-25,-12,3,32,42,57,63]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/39/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [57, 11, 90, -36, 53, 0, 4, 61, -5, 36].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-5,0,90,-36,4,11,36,53,57,61]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[0,90,-1,4,11,36,53,57,61,90]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/39/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [7, -61, 17, 49, 86, 3, -94, 42, -64, 53]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-52, 7, 22, -17, 95, -98, -63, 96, 49, -45].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_1[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_1[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_1 = m\n                return python_result_1\n    python_result_1 = max((f[i][i] + (list_1[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -29.\nDefine task_2_bound_static = 36.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-28,5,-25,17,-13]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/39/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -35}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -53.\nDefine task_1_bound_static = 12.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-52,-34,-88]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,-52,-34,-88]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/39/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [98, -70, -15, -93, 20, 45, -86, 18, 82, -32]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [5, -18, -77, -76, -19, -14, -19, 54, -31, 52].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_1), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_1[i]\n            i += 1\n        elif list_1[i] < nums2[j]:\n            f += list_1[i]\n            i += 1\n        elif list_1[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_1[i]\n            i += 1\n            j += 1\n    python_result_1 = max(f, g) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -43.\nDefine task_2_bound_static = 43.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999974},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-42]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/39/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [23, -92, -33, 39, -99, -31, -24, 4, 56, 73]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [88, -94, -34, 48, -14, -16, 82, -56, 29, 91].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_1, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-59, -43, 72, -19, -1, -14, -16, -58, -8, -50].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":12},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-59,-58,72,-19,-16,-14,-8,-50,-1,-43]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/39/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [4, -68, 17, -49, 34, 84, 79, -54, -49, 16]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[4,-68,16,-54,34,84,79,-49,-49,17]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[16,16,34,34,84,-1,84,17,17,34]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/39/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -7}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [97, 0, -24, -4, -44, -69, -80, 71, -76, 38].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "45", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[97,0,-24,-4,-44,-69,-80,71,-76,38]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":45}]"}
{"id": "python/three_chain_target/39/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -52}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-54, 42, -99, 9, -66, 84, 70, -53, -54, 51].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "38", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-54,42,-99,9,-66,84,70,-53,-54,51]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,7,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":38}]"}
{"id": "python/three_chain_target/39/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-58, -87, -5, -42, -42, 55, -60, 77, 90, -48]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-5,-5,55,55,55,77,77,90,-1,-5]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[55,55,77,77,77,90,90,-1,55,55]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/39/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -35}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [39, -95, -30, -12, -67, 62, -85, 33, -91, 39].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [54, 23, -20, 70, -54, 73, -88, -21, 88, 49].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":62},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-88,-54,-21,-20,23,49,54,70,73,88]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/39/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -50}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -35.\nDefine task_2_bound_static = 51.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-34,-4,-40,26,-10,-124,-160]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/39/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 39, "target_native_task_name": "getDescentPeriods:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 68}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-40, 80, 82, 29, -9, 72, -56, 53, -82, 41].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_3))\n    while i < n:\n        j = i + 1\n        while j < n and list_3[j - 1] - list_3[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,-56,-40,-9,29,41,53,72,80,82]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-56,-40,-9,29,41,53,72,80,82,-1]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/40/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [12, 5, 24, -22, -15, -6, -46, -29, 52, 88]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-80, 47, -5, 72, -51, 60, -66, 59, 95, -32].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "35", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[24,24,52,-15,-6,52,-29,52,88,-1]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[52,52,88,-6,52,88,52,88,-1,24]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":35}]"}
{"id": "python/three_chain_target/40/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [57, -96, 18, -24, 53, 87, -81, 58, -71, 28].\nDefine task_1_passengers_static = [-39, 95, -6, -1, 95, 41, -98, -27, 78, 79].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [95, 38, -45, -58, -91, -84, -50, -31, -97, -34].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [9, 67, -37, -59, -88, 17, -8, 62, -69, 54].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "13", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":87},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,-91,-84,-58,-50,-45,-34,-31,38,95]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":13}]"}
{"id": "python/three_chain_target/40/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 56}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-5, -8, 97, -42, -42, -18, -19, 60, 37, 91].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-13, 52, 20, 34, -98, -92, -31, 74, 60, -57].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-42,-42,-19,-18,-8,-5,37,60,91,97]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":19}]"}
{"id": "python/three_chain_target/40/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 65}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [2, 51, -57, -15, 63, 95, 85, -54, 63, 47].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-4, 35, -74, 86, -20, -5, 19, 57, 76, -97].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [16, 89, 55, -84, 7, 15, 87, 36, -51, -19].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":48},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-20,-5,-97,-4,19,35,57,76,86,-74]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":19}]"}
{"id": "python/three_chain_target/40/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-44, 10, -50, -37, 68, -25, 85, -63, -36, 7]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [23, 72, 2, 52, 16, 81, 79, -60, -5, 41].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-44,10,-50,-36,68,-25,85,-63,-37,7]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-44,10,-50,-36,68,-25,85,-63,-37,7]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/40/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-11, -9, -61, 33, 85, -55, -45, -60, -64, -14]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-51, 86, -74, -51, -74, 38, 97, 19, 42, 30].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [10, 21, 89, 94, 65, -73, -46, -58, 77, -57].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "27", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-63,75,-135,-19,9,-18,50,-41,-23,14]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[12,0,40,14,24,33,1,8,56,65]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":27}]"}
{"id": "python/three_chain_target/40/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-1, 2, 17, 60, -49, 100, 13, -74, -80, 47]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_1):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-84, -90, -67, 9, 69, 51, -11, -99, 80, 39].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [68, 34, -39, 27, -34, -11, -3, -15, -84, 37].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-84,-90,-67,9,69,51,-11,-99,80,39]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":19}]"}
{"id": "python/three_chain_target/40/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-50, -2, -38, 1, -54, 21, 73, -5, 64, -72]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [71, -54, -50, -4, 87, -75, -76, 47, 21, 51].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-50,-2,-38,-54,21,73]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-50,-2,-38,-54,21,73]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/40/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [65, 60, -4, -25, 41, -8, -52, -37, 98, -1]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-21, 90, 80, -33, -16, 33, -85, 8, -42, -22].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,3,2,1,2,3,1,1,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[2,3,2,1,2,3,1,1,1]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":19}]"}
{"id": "python/three_chain_target/40/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [43, 35, 12, -27, -86, 49, -25, -93, -25, 74]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-98, -61, 47, -87, 51, 90, -54, -1, 86, -58].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [81, -21, 41, 0, -91, 0, -73, 33, -7, -4].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-55,-27,57,-114,-36,137,-79,-95,58,14]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-55,-27,-79,-95,58,14]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/40/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 71}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [1, 64, -56, -82, -56, 53, -92, 33, 66, 93].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-28, -84, 94, -6, -11, -60, -1, -44, 76, -50].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "39", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-92,-82,-56,-56,1,33,53,64,66,93]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,1089,2809,3136,3136,4096,4356,6724,8464,8649]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":39}]"}
{"id": "python/three_chain_target/40/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-57, -40, 77, -26, 42, -39, -89, 76, 48, 1]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [11, -85, 89, 10, 94, -14, -60, 46, -25, 65].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-88, -16, -49, 48, 71, 95, 1, -54, -22, -50].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "29", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[10,-85,89,11,94,-14,-60,46,-25,65]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":29}]"}
{"id": "python/three_chain_target/40/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-9, -59, 15, -1, 51, -48, 24, 8, -11, 62]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [70, 0, -11, -32, -18, 92, 26, -77, 88, 37].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-71, 7, -14, -20, 73, 68, 34, 17, -4, 5].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "25", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-9,-59,15,51,24,62]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[37,88,-77,26,92,-18,-32,-11,0,70,-9,-59,15,51,24,62]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":25}]"}
{"id": "python/three_chain_target/40/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -6}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-77, -90, 47, 81, 28, -43, -7, 81, 83, 29].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [5, 50, 100, 88, 58, -47, 29, -70, 91, -68].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "35", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-77,-90,47,81,28,-43,-7,81,83,29]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[47,47,81,83,81,-7,81,83,-1,47]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":35}]"}
{"id": "python/three_chain_target/40/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -6}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [48, 99, 1, -26, 23, 35, 67, -45, 71, -23].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [69, 1, -90, 9, -55, -38, 26, -35, -27, -41].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "35", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[48,99,1,-26,23,35,67,-45,71,-23]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,10,2,1,3,4,6,1,8,1]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":35}]"}
{"id": "python/three_chain_target/40/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 40, "target_native_task_name": "countPairs:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 51.\nDefine task_1_bound_static = 85.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [75, -80, 81, 87, 92, 26, 48, 52, -1, -49].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_3, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,52,79]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,52,79]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/41/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -45}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [-64, 42, 35, 0, -82, 29, -89, 88, -68, 71].\nDefine task_1_capacityB_static = 86.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-9, 22, 90, 92, -56, 31, 31, -28, 66, -77].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "22", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-9,22,90,92,-56,31,31,-28,66,-77]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":22}]"}
{"id": "python/three_chain_target/41/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [82, -98, -84, -34, -49, -44, 74, 91, -5, -24].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "55", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[82,-98,-84,-34,-49,-44,74,91,-5,-24]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":55}]"}
{"id": "python/three_chain_target/41/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [70, -56, -25, 45, 96, 17, -80, -29, 78, -59]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-26, 36, 39, 60, 58, 22, -47, -38, -10, 3].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "28", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[3,-10,-38,-47,22,58,60,39,36,-26,70,-56,-25,45,96,17,-80,-29,78,-59]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[3,-10,-38,-38,22,58,58,39,36,-26]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":28}]"}
{"id": "python/three_chain_target/41/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [6, 22, -79, -68, -48, -27, 38, 8, -24, -92]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (l, r) = (0, len(list_1) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_1[l], list_1[r]) * (r - l)\n        ans = max(ans, t)\n        if list_1[l] < list_1[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -94.\nDefine task_2_bound_static = 59.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-93,11,-84]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/41/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [57, 52, 55, -84, -46, -47, 56, 3, -51, -16]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [18, -83, 34, -80, 2, -88, -47, 97, 74, -26].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "17", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,73,-32,87,-164,-44,-136,6,97,21,-42]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[1,1,73,87,6,97]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":17}]"}
{"id": "python/three_chain_target/41/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [73, -49, 1, -3, -17, 24, 27, -75, 74, -56]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "38", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[5,1,2,2,1,1,2,1,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[11,5,2,2,5,7,10,13,15,16]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":38}]"}
{"id": "python/three_chain_target/41/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [100, 73, -4, -95, 57, 3, 36, 26, -87, 89]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_1 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [45, -73, 80, -29, 86, 63, -5, -3, 84, 98].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "31", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":18},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[45,-73,63,-29,80,84,-5,-3,86,98]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":31}]"}
{"id": "python/three_chain_target/41/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [0, 35, 79, 55, -88, 14, -66, -85, -78, -60]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_boardingCost_static = -68.\nDefine task_1_runningCost_static = -73.\nTrace the execution of task_1 with inputs boardingCost = task_1_boardingCost_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_1):\n        wait += list_1[i] if i < len(list_1) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -52.\nDefine task_2_bound_static = 58.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-51,11,-42]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/41/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 54}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [39, -24, -18, 47, -18, 12, -75, -68, 47, 78].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "23", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-75,-68,-24,-18,-18,12,39,47,47,78]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[95,238,330,372,408,414,363,277,183,58]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":23}]"}
{"id": "python/three_chain_target/41/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [85, -34, 6, 71, -63, -91, -93, 10, 90, -41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    list_2.sort()\n    n = len(list_2)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_2[i] % list_2[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_2[k] % list_2[i] == 0 and f[i] == m:\n            ans.append(list_2[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-91,-93,10,90]},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[90,10]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/41/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 40}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [86, 74, -12, -22, -16, -87, -17, -46, 67, -87].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -61.\nDefine task_2_bound_static = 46.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":40},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-60,41,-21]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/41/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 35}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 66.\nDefine task_2_bound_static = 80.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,67,8,73,50]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/41/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [16, -41, 6, -60, 5, 91, -37, -96, 64, -88]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "22", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[16,-88,6,-60,64,-96,-37,91,5,-41]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[16,-27,-27,-27,-27,-37,-37,5,5,-41]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":22}]"}
{"id": "python/three_chain_target/41/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [83, 92, -74, 66, -37, -73, -40, 76, -84, 74]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_1 = sum((f(x) for x in list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-19, -68, 82, 77, 38, 14, 59, 85, -87, 33].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "21", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":114},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-19,-68,77,82,33,14,59,85,-87,38]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":21}]"}
{"id": "python/three_chain_target/41/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -7}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [35, -41, 73, -4, 78, 91, -51, -27, -28, -99].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "28", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[35,-41,73,-4,78,91,-51,-27,-28,-99]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,4,1,5,10,1,4,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":28}]"}
{"id": "python/three_chain_target/41/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 41, "target_native_task_name": "validSubarrays:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [67, 65, -44, -37, 94, 59, 28, 78, 95, -4]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-69, -90, 47, -90, 56, 6, -52, -52, -73, -66].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] >= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "22", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-66,-73,-52,6,56,-90,47,-69,10,9,8,7,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":22}]"}
{"id": "python/three_chain_target/42/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 97}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-33, -48, 44, -53, -30, -51, -61, 63, -6, 74].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [85, 6, -58, -63, 20, 91, 61, -99, 6, -94].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = -100.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "26", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[85,6,-63,-58,20,91,61,-99,6,-94]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":26}]"}
{"id": "python/three_chain_target/42/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 52}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-99, 14, -29, 16, 24, -91, 11, 66, 52, 56].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = -39.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "34", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":17},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,11,-29,14,16,-91,24,52,56,66]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":34}]"}
{"id": "python/three_chain_target/42/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [52, 75, 94, -79, -83, 38, 94, -34, -76, 30]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [73, -5, -9, 48, 81, -3, -56, 71, -45, -67].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_1), sum(nums2))\n    python_result_1 = max(s2 + f(list_1, nums2), s1 + f(nums2, list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-59, -78, 13, 98, 25, 37, 48, 100, 5, -21].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = -69.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "14", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":402},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-59,-78,13,98,25,37,48,100,5,-21]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":14}]"}
{"id": "python/three_chain_target/42/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [9, -68, -36, 96, -88, -70, -14, -31, -60, -64]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, j) = (0, len(list_1) - 1)\n    (a, b) = (list_1[i], list_1[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_1[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_1[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_1[i], list_1[j])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-52, -29, 92, -41, -52, -40, -76, 92, -97, -27].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = -100.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "54", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-52,-29,92,-41,-52,-40,-76,92,-97,-27]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":54}]"}
{"id": "python/three_chain_target/42/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [29, 68, -5, -39, -71, 53, -14, 50, -19, 41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_1[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-97, -88, -6, 50, 50, 58, -66, -54, 13, 89].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = -93.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "28", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":118},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,-88,-6,50,50,58,-66,-54,13,89]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":28}]"}
{"id": "python/three_chain_target/42/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [78, -34, -28, -29, -49, 86, 24, -65, -10, 66]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [8, -25, -7, -65, 59, 4, -53, -89, -15, -90].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -18.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = -83.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "62", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-90,-15,-89,-53,4,59,-65,-7,-25,8,78,-34,-28,-29,-49,86,24,-10,66]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-90,-15,-89,-53,4,59,-65,-7,-25,8]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":62}]"}
{"id": "python/three_chain_target/42/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 94}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [18, -14, 55, 95, -8, 5, -67, -56, -58, -48].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-29, -49, 47, -39, -68, -56, 95, 85, -9, 88].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = -36.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "29", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":95},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-68,-56,-49,-39,-29,-9,47,85,88,95]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":29}]"}
{"id": "python/three_chain_target/42/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-42, 44, -79, 88, -85, -94, -49, 60, -52, 97]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [90, 57, -1, 93, 48, -39, 82, -27, -10, -47].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_1), sum(nums2))\n    if s1 == s2:\n        python_result_1 = 0\n        return python_result_1\n    if s1 > s2:\n        python_result_1 = task_1(nums2, list_1)\n        return python_result_1\n    arr = [6 - v for v in list_1] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_1 = i\n            return python_result_1\n    python_result_1 = -1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 19.\nDefine task_2_bound_static = 45.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = 88.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "20", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,20,5,23,17,35]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":20}]"}
{"id": "python/three_chain_target/42/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [12, 43, -74, 66, 85, -15, 32, -71, 67, 33]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_1[j] > list_1[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -13.\nDefine task_2_bound_static = 49.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = 51.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-12,10,-4]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/42/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 34}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-96, 40, 66, -17, 21, 54, -96, -25, 62, 73].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = -55.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-96,21,40,-25,54,62,-96,-17,66,73]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-96,21,21,21,54,54,-17,-17,66,73]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/42/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [19, 27, 81, -73, 85, 23, -31, -56, -33, -13]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= h:\n            right[stk[-1]] = i\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [39, 81, 99, 3, 23, 8, -3, -94, -53, -45].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = -88.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "16", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":85},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-53,-45,-3,3,8,23,39,81,99]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":16}]"}
{"id": "python/three_chain_target/42/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-15, -24, -32, 18, 23, -99, 82, -58, 18, -57].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = 44.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "120", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-58,-57,-32,-24,-15,18,18,23,82]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-7,-5,-3,-1,1,3,4,5,7,9]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":120}]"}
{"id": "python/three_chain_target/42/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 30}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-28, 67, -7, -87, -16, 48, -69, 99, -85, -87].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = -90.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "43", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-28,48,-16,-87,-7,67,-87,99,-85,-69]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-28,48,-16,-87,-7,67,-87,99,-85,-69]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":43}]"}
{"id": "python/three_chain_target/42/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 34}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-20, 96, 2, -8, -47, 48, 37, 23, 13, -26].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [82, 33, -13, 69, 19, 26, 41, 30, 52, -32].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = 50.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "26", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":61},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-32,-13,19,26,30,33,41,52,69,82]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":26}]"}
{"id": "python/three_chain_target/42/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [5, 55, -61, -41, 6, 9, -12, -17, -46, 31]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-25, 17, 45, 27, -28, 9, 45, -68, 87, 47].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = 39.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "56", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-330},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-25,17,45,27,-28,9,45,-68,87,47]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":56}]"}
{"id": "python/three_chain_target/42/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 42, "target_native_task_name": "threeSumSmaller:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -5}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-23, 5, -13, -49, 84, 19, -82, 53, 45, 91].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_target_static = -74.\nTrace the execution of task_3 with inputs target = task_3_target_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], target: int) -> int:\n    list_3.sort()\n    (ans, n) = (0, len(list_3))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_3[i] + list_3[j] + list_3[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "12", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-23,5,-13,-49,84,19,-82,53,45,91]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":12}]"}
{"id": "python/three_chain_target/43/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 75}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [92, 74, 18, -61, 25, 12, 61, 22, -29, -40].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_2)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_2[j] - list_2[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_2[j] - list_2[j + 1] + 1)\n            ans[i] += d\n    python_result_2 = min(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [39, 63, 46, 43, 96, -18, -55, 86, 54, 74].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-61,-40,-29,12,18,22,25,61,74,92]},{\"node_id\":\"task_2\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":37},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":11}]"}
{"id": "python/three_chain_target/43/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 51}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-44, -70, 86, -99, -94, 47, -52, 86, -27, -53].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_2)\n    if nums[m] > val_2:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_2:\n                break\n            ans += nums[i] - val_2\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_2:\n                break\n            ans += val_2 - nums[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-49, 22, -93, 55, 13, -3, 82, -25, 51, 79].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "76", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":49},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":171},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":76}]"}
{"id": "python/three_chain_target/43/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [5, 1, -36, -72, -42, -36, -26, 84, -60, -16]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_2[i] > list_2[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_2[i] > list_2[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_2 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-59, 79, -48, 57, 26, 47, 26, 88, -28, -67].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "49", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-16,-60,-36,-72,-42,-36,-26,84,1,5]},{\"node_id\":\"task_2\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":23},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":49}]"}
{"id": "python/three_chain_target/43/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 0}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-4, 82, -32, -70, -9, 76, 39, -57, -71, 79].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_tokens_static = [24, -21, -75, -74, -37, 61, 67, -41, -83, 88].\nTrace the execution of task_2 with inputs tokens = task_2_tokens_static.\n```python\nfrom typing import List\ndef task_2(tokens: List[int], val_2: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_2 >= tokens[i]:\n            val_2 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_2 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [51, -76, -30, -1, -36, -64, -76, -2, 60, -77].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "102", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":102}]"}
{"id": "python/three_chain_target/43/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-46, 5, -8, 44, -77, 3, -25, -56, -33, -63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_2[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-37, 45, 59, 79, 76, -30, 88, 79, 31, -85].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "20", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[210,169,166,202,169,95,73,8,97,193]},{\"node_id\":\"task_2\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":109},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":20}]"}
{"id": "python/three_chain_target/43/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [68, 29, -21, -45, 16, 38, -14, 90, 65, 22]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_1) - 1):\n        if list_1[i] == list_1[i + 1]:\n            continue\n        if list_1[i] > list_1[j] and list_1[i] > list_1[i + 1]:\n            ans += 1\n        if list_1[i] < list_1[j] and list_1[i] < list_1[i + 1]:\n            ans += 1\n        j = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [9, -68, -14, 75, -97, 6, -93, -15, -81, 97].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-31, -88, 26, -84, 33, -45, 96, -83, -36, -47].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "95", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":95}]"}
{"id": "python/three_chain_target/43/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [2, -11, 53, 94, -18, -77, -64, 90, -73, 57]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [49, 12, 86, 60, 14, -78, 90, -14, -1, -5].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-45, -53, -38, -79, 98, -63, 30, -93, 25, -8].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "94", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":94}]"}
{"id": "python/three_chain_target/43/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [13, 92, 14, 55, -47, -81, -37, 9, 83, -32]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_1) - 1):\n        if list_1[i] == list_1[i + 1]:\n            continue\n        if list_1[i] > list_1[j] and list_1[i] > list_1[i + 1]:\n            ans += 1\n        if list_1[i] < list_1[j] and list_1[i] < list_1[i + 1]:\n            ans += 1\n        j = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-37, 83, -24, 83, 17, 82, -91, 92, -75, 65].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_2 = 1\n            return python_result_2\n        if x * y <= val_2:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [2, 75, 27, -25, 34, 21, 87, 88, 64, -85].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "18", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":18}]"}
{"id": "python/three_chain_target/43/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 11}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [53, -49, -31, 94, 48, -59, 16, 26, 1, -19].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_plants_static = [20, -4, 22, -31, 67, 96, 23, 1, 20, -3].\nDefine task_2_capacityB_static = -60.\nTrace the execution of task_2 with inputs plants = task_2_plants_static, capacityB = task_2_capacityB_static.\n```python\nfrom typing import List\ndef task_2(plants: List[int], val_2: int, capacityB: int) -> int:\n    (a, b) = (val_2, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_2\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [50, -60, -62, 83, 32, -24, -55, -91, 49, 14].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "75", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":75}]"}
{"id": "python/three_chain_target/43/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 57}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 42.\nDefine task_1_bound_static = 53.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-38, 0, 21, 55, 61, 48, 85, 13, -76, 21].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> int:\n    n = len(list_2)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_2[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_2[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_2 = m\n                return python_result_2\n    python_result_2 = max((f[i][i] + (list_2[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-54, 9, -50, -21, 42, -97, 67, -43, 90, 57].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "61", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,43]},{\"node_id\":\"task_2\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":61}]"}
{"id": "python/three_chain_target/43/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -77}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-51, 36, 75, 21, -23, -13, -67, -92, 55, 12].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_2) - 1):\n        if list_2[i] == list_2[i + 1]:\n            continue\n        if list_2[i] > list_2[j] and list_2[i] > list_2[i + 1]:\n            ans += 1\n        if list_2[i] < list_2[j] and list_2[i] < list_2[i + 1]:\n            ans += 1\n        j = i\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [11, -96, 37, -9, -56, 17, -21, 29, -15, 1].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "81", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-51,36,75,21,-23,-13,-67,-92,55,12]},{\"node_id\":\"task_2\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":81}]"}
{"id": "python/three_chain_target/43/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [45, -5, 95, -19, 39, 26, 11, 66, 12, -65]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_2)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_2 = (dfs(list_2) - 1 + mod) % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [60, -24, -90, -2, -34, 68, -61, 94, 19, -15].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "62", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[45,95,39,26,11,66]},{\"node_id\":\"task_2\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":62}]"}
{"id": "python/three_chain_target/43/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-72, 87, 23, 66, 81, 57, 9, 63, 1, 81]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_2:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_2 = 0\n            return python_result_2\n        y = val_2 % 10\n        if val_2 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_2 = (val_2 - y) // 10\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-98, -37, 70, 59, -83, -41, -11, -75, 5, -61].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "101", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":101}]"}
{"id": "python/three_chain_target/43/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-47, -10, -96, -67, 14, 22, 96, -66, -40, -27]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [61, 50, 16, 42, -87, 39, 33, 4, 20, 15].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_2), sum(nums2))\n    if s1 == s2:\n        python_result_2 = 0\n        return python_result_2\n    if s1 > s2:\n        python_result_2 = task_2(nums2, list_2)\n        return python_result_2\n    arr = [6 - v for v in list_2] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_2 = i\n            return python_result_2\n    python_result_2 = -1\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-100, 29, 71, 34, 8, 31, 79, 48, 90, -40].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "26", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-47,-10,-96,-67,14,22,96]},{\"node_id\":\"task_2\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":26}]"}
{"id": "python/three_chain_target/43/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -24}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [61, -76, -19, -8, 99, 81, 86, -97, 5, -91].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    while 1:\n        (t, s, i) = (val_2, 0, 2)\n        while i <= val_2 // i:\n            while val_2 % i == 0:\n                val_2 //= i\n                s += i\n            i += 1\n        if val_2 > 1:\n            s += val_2\n        if s == t:\n            python_result_2 = t\n            return python_result_2\n        val_2 = s\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-93, 93, -39, -63, -35, -95, 21, -55, -44, 34].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "103", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":99},{\"node_id\":\"task_2\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":17},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":103}]"}
{"id": "python/three_chain_target/43/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 43, "target_native_task_name": "threeSumSmaller:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-16, -32, 93, 55, 59, -71, 94, 69, -81, -72]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-4, 78, 9, 84, 96, -79, 31, 60, -96, -44].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = 91.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    (ans, y) = (1, list_2[0])\n    for x in list_2[1:]:\n        if x == 0:\n            python_result_2 = 1\n            return python_result_2\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [79, 73, 69, -61, -44, -7, -13, 28, -36, 68].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_3:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "36", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-21,43,99,136,153,-151,122,127,-177,-116]},{\"node_id\":\"task_2\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":36}]"}
{"id": "python/three_chain_target/44/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 55}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-34, 6, 96, 38, -88, 34, -8, -86, 52, 21].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,2,3,4,5,10,1,2,4,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-88,-86,-34,-8,6,21,34,38,52,96]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-88,-86,-34,-8,6,96,34,38,52,21]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,3,4,5,10,1,2,4,1]}]"}
{"id": "python/three_chain_target/44/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 74}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-99, -87, -93, -74, 88, -44, 52, 98, -21, 91].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [91, -79, 81, 2, -18, 41, 79, 62, 93, 89].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,10,1,5,3,1,2,7,1,8]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-93,-87,-74,-44,-21,52,88,91,98]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[89,93,62,79,41,-18,2,81,-79,91,-99,-93,-87,-74,-44,-21,52,88,98]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,10,1,5,3,1,2,7,1,8]}]"}
{"id": "python/three_chain_target/44/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-53, -27, 79, -73, 94, -5, -58, 5, -54, 27]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_1):\n        if not stk or list_1[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_1) - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -27.\nDefine task_2_bound_static = 27.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,4,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-26,10,-18]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,4,1]}]"}
{"id": "python/three_chain_target/44/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 7}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -12.\nDefine task_1_bound_static = 52.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-98, -50, -50, 34, -80, -87, 23, -50, 76, 46].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,10,1,4,1,2,8,1,3,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-11,8,-5,50,37]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[46,76,-50,23,-87,-80,34,-98,2,-11,8,-5,50,37]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,10,1,4,1,2,8,1,3,1]}]"}
{"id": "python/three_chain_target/44/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-34, 46, -98, -77, -16, 52, -25, -100, 75, -25]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -38.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [49, -53, 90, 28, 8, 36, -25, -88, -16, 43].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[7,3,1,2,6,1,2,10,1,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-34,46,-98,-77,-16,52,-25,0,75,-25]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[43,-16,-88,-25,36,8,28,90,-53,49,-34,46,-98,-77,52,0,75]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[7,3,1,2,6,1,2,10,1,2]}]"}
{"id": "python/three_chain_target/44/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [38, -79, -45, 43, -67, 79, -75, -62, 36, -66]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -78.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    mx = list_1[0]\n    cnt = 0\n    for x in list_1[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -45.\nDefine task_2_bound_static = 16.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":79},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-44]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1]}]"}
{"id": "python/three_chain_target/44/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [39, -31, 52, 99, -79, -60, -24, 27, 49, -44]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-54, 7, -6, -34, 38, -81, 37, -45, -80, -67].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,3,5,1,10,1,2,4,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[52,52,99,-1,-60,-24,27,49,52,39]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-67,-80,-45,37,-81,38,-34,-6,7,-54,52,52,99,-1,-60,-24,27,49,52,39]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,3,5,1,10,1,2,4,1]}]"}
{"id": "python/three_chain_target/44/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [93, -93, 23, 29, -61, -40, 10, 100, 98, -20]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_1)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_1[j] - list_1[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_1[j] - list_1[j + 1] + 1)\n            ans[i] += d\n    python_result_1 = min(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-89, 92, -19, 53, -91, 56, 29, -68, -83, -3].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,10,1,3,1,8,4,2,1,3]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":113},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-91,92,-19,53,-89,56,29,-68,-83,-3]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,10,1,3,1,8,4,2,1,3]}]"}
{"id": "python/three_chain_target/44/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-21, -82, -38, -29, 86, 74, 51, 47, -19, -25]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[3,2,1,4,10,1,5,1,3,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[361,2209,2601,5476,7396,841,1444,6724,441,625]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,2,1,4,10,1,5,1,3,1]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,2,1,4,10,1,5,1,3,1]}]"}
{"id": "python/three_chain_target/44/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 79}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [-57, 26, -25, 67, -43, 37, -82, 58, -3, 50].\nDefine task_1_capacityB_static = 46.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-7, 95, -17, 61, 1, 82, 69, 99, 65, -2].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,7,1,3,1,5,1,10,2,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-7,95,-17,61,-2,82,69,99,65,1]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,7,1,3,1,5,1,10,2,1]}]"}
{"id": "python/three_chain_target/44/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 91}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -59.\nDefine task_2_bound_static = 39.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":89},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-58]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1]}]"}
{"id": "python/three_chain_target/44/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 54}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 87.\nDefine task_1_bound_static = 90.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[3,2,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,88,55]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[88,55,2]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,2,1]}]"}
{"id": "python/three_chain_target/44/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -20}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -7.\nDefine task_2_bound_static = 70.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,8,1,3,1,5,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-19},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-6,50,-342,-18,-26,30,-362]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,8,1,3,1,5,1]}]"}
{"id": "python/three_chain_target/44/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 23}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-80, 14, -45, 57, 30, -41, 7, 15, 20, 33].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -92.\nDefine task_2_bound_static = 67.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":74},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-91]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1]}]"}
{"id": "python/three_chain_target/44/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 17}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -82.\nDefine task_1_bound_static = 91.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,3,2,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-81,18,-65]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[2,-31,-32,-65]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[4,3,2,1]}]"}
{"id": "python/three_chain_target/44/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 44, "target_native_task_name": "maximumLengthOfRanges:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -36}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -65.\nDefine task_2_bound_static = 9.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,1,2,3]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-36},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-64,-35,-101]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[4,1,2,3]}]"}
{"id": "python/three_chain_target/45/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 29}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 95.\nDefine task_1_bound_static = 65.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-39, 93, 80, -53, -86, 50, 61, 17, 30, -96].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "57", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,30]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[30,2]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":57}]"}
{"id": "python/three_chain_target/45/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-95, 17, 54, 29, 4, 99, -56, 38, -23, 94]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = 50.\nDefine task_1_capacityB_static = 69.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-11, -44, 9, -48, -37, 9, 19, 54, 59, 48].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [42, 30, -42, -77, -97, 50, 43, 63, -14, 23].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "58", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-11,-44,9,-48,-37,9,19,54,59,48]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":58}]"}
{"id": "python/three_chain_target/45/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [74, -82, -66, 27, 64, 96, -33, -69, 81, -46]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] > list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_1 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_1))) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 15.\nDefine task_2_bound_static = 59.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-51, -39, -18, 31, -46, 65, 76, 52, -23, 72].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "119", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997195},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,16]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":119}]"}
{"id": "python/three_chain_target/45/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -67}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-16, -67, -41, -84, -100, 82, 61, -69, -19, 9].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [17, -96, -69, 73, -97, 57, -41, 85, 69, -4].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "194", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-16,-67,-41,-84,-100,82,61,-69,-19,9]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[0,-41,0,0,82,-1,82,-19,9,82]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":194}]"}
{"id": "python/three_chain_target/45/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [45, -6, 83, -38, 26, -30, 8, 92, -66, 36]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-22, -41, 24, 27, -47, -23, 1, -6, 62, -47].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "218", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[45,83,8,92,36]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[45,45,46,46,36]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":218}]"}
{"id": "python/three_chain_target/45/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -91}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-25, 50, -59, 26, 36, 96, -7, -96, 77, 33].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-28, -8, 10, 12, 69, -32, -27, -27, -81, 37].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "477", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-25,50,-59,26,36,96,-7,-96,77,33]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[49,9216,1296,676,3481,2500,625,9216,5929,1089]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":477}]"}
{"id": "python/three_chain_target/45/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-78, 44, -25, 61, -57, 69, 57, 92, -16, 99].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-13, 61, -77, -51, 26, -65, 47, 50, 77, -6].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "446", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-78,44,-25,61,-57,69,57,92,-16,99]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[256,8464,3249,4761,3249,3721,625,1936,6084,9801]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":446}]"}
{"id": "python/three_chain_target/45/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [72, 89, 72, 67, -40, -94, 82, -9, 36, -55].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [97, 75, -80, -30, -66, -6, -94, -83, -42, -47].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "220", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":78},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-55,-40,-9,36,67,72,72,82,89]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":220}]"}
{"id": "python/three_chain_target/45/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [93, 54, -57, -77, 89, 4, -97, -20, -15, 15]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -76.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    (ans, y) = (1, list_1[0])\n    for x in list_1[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [96, 56, -87, -14, 74, 35, 78, 49, -82, -74].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-46, 45, -71, 41, -59, -32, 67, -38, 93, 42].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "131", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[96,56,-87,-14,74,35,78,49,-82,-74]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":131}]"}
{"id": "python/three_chain_target/45/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -75}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-38, 54, 83, 93, -45, 96, 64, -9, -99, -3].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [81, 48, -11, 85, -9, -64, -65, 98, 16, -84].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [39, 20, -51, 83, -81, 5, 6, -9, -80, -78].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "95", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":96},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-84,-65,-64,-11,-9,16,48,81,85,98]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":95}]"}
{"id": "python/three_chain_target/45/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 34}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -42.\nDefine task_1_bound_static = 46.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-52, -76, -95, 98, 38, 42, 5, 38, -84, -91].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-41,35,-8]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-2,0,2,4]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/45/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 46}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [50, 30, 98, -43, 5, -56, 14, -21, -66, 48].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -69.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-87, 88, -55, 2, 22, -99, 55, 3, 86, 68].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "83", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-66,-56,98,-43,-21,5,14,30,48,50]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-66,-56,98,-43,-21,5,14,30,48,50]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":83}]"}
{"id": "python/three_chain_target/45/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 69}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-97, -13, -18, 53, 81, -39, -66, 97, 57, -76].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 22.\nDefine task_2_bound_static = 37.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [99, -85, -5, -13, 87, -29, -63, 58, -62, -75].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "25", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":183},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,23]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":25}]"}
{"id": "python/three_chain_target/45/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 30}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -40.\nDefine task_1_bound_static = 42.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-88, 71, -49, 6, -83, -7, -79, 11, -81, -1].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999999991", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-39,31,-10]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,-10,31,-39]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999991}]"}
{"id": "python/three_chain_target/45/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -66}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-22, 31, 5, -46, 83, -21, -3, -5, 3, 91].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [80, -41, 82, 87, -27, -14, -31, -74, -54, -39].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "109", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-22,31,5,-46,83,-21,-3,-5,3,91]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-22,-46,83,3,91]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":109}]"}
{"id": "python/three_chain_target/45/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 45, "target_native_task_name": "maxSum:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -7}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-9, -84, 3, -6, 14, -23, -90, -17, -51, 81].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -39.\nDefine task_2_bound_static = 38.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [32, -74, -73, 16, 34, -5, -49, -77, 94, -69].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_3), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] < nums2[j]:\n            f += list_3[i]\n            i += 1\n        elif list_3[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_3[i]\n            i += 1\n            j += 1\n    python_result_3 = max(f, g) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999999971", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":81},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-38]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999971}]"}
{"id": "python/three_chain_target/46/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -52}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [59, 73, 13, -6, 83, -78, -40, -50, -38, 13].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -99.\nDefine task_2_bound_static = 59.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [-3, -78, 19, -66, -71, -54, 62, -76, 51, 14].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":28},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-98,29,-71]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/46/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-37, -2, 68, -66, 80, 86, 12, 18, -28, -12]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [25, 0, -51, 24, 78, 75, -60, 94, 20, 66].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-37,-2,1,1,80,80,15,15,-12,-12]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,4,4,10,10,4,4,2,2]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/46/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 24}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [28, -47, 40, 99, 1, 32, 15, -73, 11, 2].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [-3, 46, -36, -86, -54, 45, 68, 41, -42, -17].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[1,-47,2,99,11,15,28,-73,32,40]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[107,153,198,97,13,39,82,37,4,68]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/46/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-54, -17, 76, 10, -99, 23, 98, -11, -53, -57]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -66.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [66, 47, 81, -38, -68, -33, 91, -3, -93, -81].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-54,-17,76,10,-99,23,98,-11,-53,-57]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[100,9801,529,9604,121,5776,289,2809,2916,3249]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/46/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -21}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-98, -8, -44, -71, -76, 62, 34, -100, -15, -78].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-68, 30, 19, 34, 13, 57, 87, -62, -17, 2].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [-22, 58, -39, -92, 97, -59, -50, 63, -28, 26].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-68,30,13,34,19,57,87,-62,-17,2]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/46/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [88, -42, -20, -79, -10, 11, 67, 45, -18, 86]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 62.\nDefine task_2_bound_static = 39.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [-5, -34, 87, 26, -87, 45, -68, 74, -74, 5].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-239},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-38,23]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/46/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -47}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [24, 35, 23, -62, -65, 58, 73, -19, -41, 92].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-57, 86, -53, -10, 32, 39, -13, -90, 74, -68].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [-46, 79, -84, -11, -45, 44, -21, 98, 4, -71].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":21},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-68,74,-57,-13,32,39,-10,-90,86,-53]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/46/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-18, -50, -9, 2, 84, 10, 100, -34, 83, -91]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [13, -58, -41, 38, 12, 73, 59, -44, 96, 61].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[18,32,42,48,50,48,42,32,18,0]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/46/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-99, -51, 12, 86, 31, -100, 14, 90, 76, -94]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [78, 31, 13, -76, -24, 46, -52, -67, -46, 27].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_1), sum(nums2))\n    if s1 == s2:\n        python_result_1 = 0\n        return python_result_1\n    if s1 > s2:\n        python_result_1 = task_1(nums2, list_1)\n        return python_result_1\n    arr = [6 - v for v in list_1] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_1 = i\n            return python_result_1\n    python_result_1 = -1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 88.\nDefine task_2_bound_static = 4.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [55, 41, 59, -67, 47, -6, -89, 82, 34, 97].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,3]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/46/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -34}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-78, 10, 9, -6, -68, -11, 79, 29, -18, -61].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [14, -94, 49, 77, 23, 58, -28, 92, 56, -24].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [-33, -27, -52, 22, 19, -6, 21, 51, -23, -20].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":79},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-28,-24,14,23,49,56,58,77,92]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/46/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -42}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [-37, -27, -87, 73, -23, -21, 76, 50, -43, -84].\nDefine task_1_runningCost_static = 63.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 32.\nDefine task_2_bound_static = 51.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [-16, 84, 94, 43, -72, 73, 18, -97, -95, -45].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,33,4,35,10,41,28]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/46/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 69}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-2, 86, 62, -6, 12, 13, 69, 57, -89, 56].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [51, -44, -100, 76, 21, -7, -76, 49, 51, 84].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-6,-2,12,13,56,57,62,69,-89,86]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[264,272,262,237,168,55,64,195,175,172]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/46/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 58}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 37.\nDefine task_1_bound_static = 41.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    list_2.sort()\n    n = len(list_2)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_2[i] % list_2[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_2[k] % list_2[i] == 0 and f[i] == m:\n            ans.append(list_2[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [73, 85, 78, 71, -50, -69, -25, 0, 56, -49].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,38]},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[38,2]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/46/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [6, -53, 88, -39, 66, -16, -100, -12, -76, 76]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_boardingCost_static = -37.\nDefine task_1_runningCost_static = 46.\nTrace the execution of task_1 with inputs boardingCost = task_1_boardingCost_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_1):\n        wait += list_1[i] if i < len(list_1) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-16, -59, -73, 93, -62, 53, -87, -40, 55, 91].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [-7, -7, -84, 72, 10, -77, -97, -22, -16, -96].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-16,-59,-73,91,-62,53,-87,-40,55,93]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/46/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [20, -39, -70, 49, -50, -26, 60, 7, -79, 77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [-22, 45, 11, -85, 4, 5, 68, 12, -49, 99].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-39,-70,-50,-26,-79,77]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-39,-70,-50,-26,-79,77]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/46/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 46, "target_native_task_name": "findContentChildren:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -9}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [73, 0, -85, 71, -78, -58, -38, -8, 35, 47].\nDefine task_1_passengers_static = [-28, 94, -55, -88, 36, -53, -40, -97, -36, 73].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-77, 10, -27, 4, -9, -74, 12, 54, 49, 14].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_s_static = [65, -9, -49, -16, -35, -15, -100, -29, 45, 82].\nTrace the execution of task_3 with inputs s = task_3_s_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], s: List[int]) -> int:\n    list_3.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_3):\n        while j < len(s) and s[j] < list_3[i]:\n            j += 1\n        if j >= len(s):\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":72},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-77,-74,-27,-9,4,10,12,14,49,54]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/47/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-100, -88, -93, 5, -65, -13, 52, 54, 93, -2].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 56.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-100,-88,-93,5,-65,-13,52,54,93,-2]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,2,1,6,1,2,7,8,10,1]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/47/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-40, -91, -41, 68, -86, -24, -83, -65, 12, 36]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [14, 26, -37, -83, -51, 31, -72, -41, 23, 38].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_1, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 51.\nDefine task_2_bound_static = 54.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -73.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "52", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,52,10]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":52}]"}
{"id": "python/three_chain_target/47/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-48, 98, 42, -14, 5, -85, 36, 80, -57, -75]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [79, -52, 96, 32, 48, 69, 86, -64, 74, -55].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_1[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_1[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_1 = m\n                return python_result_1\n    python_result_1 = max((f[i][i] + (list_1[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-23, 34, -3, 86, 60, -49, -29, 34, 91, -36].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -4.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "91", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-23,34,-3,86,60,-49,-29,34,91,-36]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":91}]"}
{"id": "python/three_chain_target/47/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [19, -64, -16, -31, 70, -13, 49, 91, 75, -67]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_1[j] * (j - i)\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-41, 3, 32, 100, 90, -48, 41, 87, 17, -57].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 22.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "90", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":645},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-57,-48,-41,87,90,3,17,100,32,41]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":90}]"}
{"id": "python/three_chain_target/47/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -89}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 100.\nDefine task_1_bound_static = 92.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 43.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -72.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-88,11]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,-88,11]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/47/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 73}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [18, 82, 95, -96, -32, 85, 86, -30, -60, -10].\nDefine task_1_passengers_static = [100, 19, 74, -71, 95, -59, -88, 85, 58, 100].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [96, -36, 18, -97, -57, -5, 15, -48, -11, -46].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 84.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "96", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":94},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,-57,-48,-46,-36,-11,-5,15,18,96]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":96}]"}
{"id": "python/three_chain_target/47/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -30}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-31, 91, 77, -74, -72, -12, 85, 56, -72, -18].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -6.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "91", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-29},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-31,91,77,-74,-72,-12,85,56,-72,-18]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":91}]"}
{"id": "python/three_chain_target/47/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-42, 74, 96, 84, 29, -8, 61, -7, 86, 96]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-95, -64, -73, -20, -73, 21, 73, -24, -61, 3].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -93.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "73", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-64,-73,-24,-73,21,73,-20,-61,3]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":73}]"}
{"id": "python/three_chain_target/47/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-82, 63, -67, 18, -63, 22, -69, 93, 84, 4]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -73.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-82,-23,-23,-23,-22,-22,-22,84,84,4]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-3,-2,-2,-1,0,0,1,2,3,5]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/47/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -18.\nDefine task_1_bound_static = 36.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -77.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "89", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-17,32,13]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,289,1024,169]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":89}]"}
{"id": "python/three_chain_target/47/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-21, -41, 30, -16, 23, 74, -83, 76, 47, 2].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -78.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-21,-41,30,-16,23,74,-83,76,47,2]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/47/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -72}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [91, 50, 89, 47, 42, 36, 6, 76, -25, -74].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 54.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "91", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[91,50,89,47,42,36,6,76,-25,-74]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[91,50,89,47,42,36,6,76]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":91}]"}
{"id": "python/three_chain_target/47/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [24, 87, -24, 61, -92, 28, -13, -97, -11, 98]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -61.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -80.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,8,1,6,1,4,2,1,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[1,8,1,6,1,4,2,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/47/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-12, 82, 78, 9, 45, -10, -85, -61, 61, 80]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_1[j] * (j - i)\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -86.\nDefine task_2_bound_static = 57.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -18.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "23", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":722},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-85,23,-64]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":23}]"}
{"id": "python/three_chain_target/47/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 60}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [18, 89, 75, 51, 19, -20, -33, -57, -100, 55].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -6.\nDefine task_2_bound_static = 39.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -4.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "37", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-5,37,-215,10,3]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":37}]"}
{"id": "python/three_chain_target/47/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 47, "target_native_task_name": "getWinner:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [0, 17, 12, -62, -8, -48, -22, -84, 94, 89]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_1[j] > list_1[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-68, 0, -16, 36, -42, 8, -22, 66, -99, -29].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 43.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = list_3[0]\n    cnt = 0\n    for x in list_3[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "66", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-68,0,-29,36,-42,8,-22,66,-99,-16]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":66}]"}
{"id": "python/three_chain_target/48/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-68, -77, -43, 65, -95, -77, 30, 41, -51, 95]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_1[j] * (j - i)\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [4, 36, 40, 12, -3, 41, -74, 86, 24, -85].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_2 == 1:\n        python_result_2 = ans % mod\n        return python_result_2\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_2 - 2) * s + mx_pre + mx_suf)\n    python_result_2 = ans % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-58, 41, 64, 76, -8, -29, -13, 48, 73, -41].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "76", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":855},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":4540},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":76}]"}
{"id": "python/three_chain_target/48/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [5, -5, 41, 68, 32, 76, 49, 59, -83, -24]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_2):\n        if not stk or list_2[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_2) - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-76, -88, 0, 87, 39, 82, 95, 11, 85, -26].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "95", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[41,41,68,76,76,-1,59,68,-24,5]},{\"node_id\":\"task_2\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":95}]"}
{"id": "python/three_chain_target/48/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 95}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-42, -65, -4, -3, -42, -33, 38, 57, 69, -31].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [41, 10, 52, 84, 72, 3, 38, 88, 83, -38].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-51, -91, -36, -50, -50, 14, 68, 13, -62, -63].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "68", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":68}]"}
{"id": "python/three_chain_target/48/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 9}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [-13, -21, -13, 72, -75, -31, 23, 74, 98, -89].\nDefine task_1_capacityB_static = -70.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [89, -32, -52, 64, -89, 14, 47, 73, 77, -90].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-39, 58, -29, -37, -89, -29, -90, 84, 80, 17].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "58", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":58}]"}
{"id": "python/three_chain_target/48/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-45, 57, -47, -81, 60, 4, -46, 49, 22, -8]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 45.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    (ans, y) = (1, list_1[0])\n    for x in list_1[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_2:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_2 = 0\n            return python_result_2\n        y = val_2 % 10\n        if val_2 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_2 = (val_2 - y) // 10\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-44, 8, 95, 30, -74, 60, 9, 72, -28, -87].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "95", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":95}]"}
{"id": "python/three_chain_target/48/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 24}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 99.\nDefine task_1_bound_static = 50.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [98, 47, 36, 28, 83, -82, -93, -93, 1, -22].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_2), sum(nums2))\n    python_result_2 = max(s2 + f(list_2, nums2), s1 + f(nums2, list_2))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [28, 25, -54, 0, 75, -87, 34, -12, 48, 64].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "75", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,25]},{\"node_id\":\"task_2\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":145},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":75}]"}
{"id": "python/three_chain_target/48/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [18, 32, 49, -68, -9, 89, -17, 67, 85, -87]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = -45.\nDefine task_1_capacityB_static = 99.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_2:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_2:\n        ans += 1\n        s += k\n        k += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-22, 52, 57, -84, -29, 12, -69, -92, -12, -9].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "57", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":57}]"}
{"id": "python/three_chain_target/48/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_buses_static = [47, -96, 86, 65, 74, 83, -76, -81, -93, -5].\nDefine task_2_passengers_static = [85, -89, -23, -46, 52, -61, 66, 10, -42, -12].\nTrace the execution of task_2 with inputs buses = task_2_buses_static, passengers = task_2_passengers_static.\n```python\nfrom typing import List\ndef task_2(buses: List[int], passengers: List[int], val_2: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_2\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [59, -13, -63, 82, 20, 7, -30, 85, 75, 60].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "85", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":29},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":86},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":85}]"}
{"id": "python/three_chain_target/48/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -17}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [37, 37, 83, 10, -37, -71, -62, 100, 76, 63].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_power_static = -43.\nTrace the execution of task_2 with inputs power = task_2_power_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], power: int) -> int:\n    list_2.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        if power >= list_2[i]:\n            power -= list_2[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_2[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-52, 23, -58, -3, 34, 72, -82, 30, 15, -32].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "72", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[37,37,83,10,-37,-71,-62,100,76,63]},{\"node_id\":\"task_2\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":72}]"}
{"id": "python/three_chain_target/48/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 45}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [31, 79, -72, -76, 56, -14, -29, 51, 88, -74].\nDefine task_1_capacityB_static = -18.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_buses_static = [-36, 80, -98, 22, -20, -18, -47, -8, -14, 40].\nDefine task_2_passengers_static = [-99, 7, -91, -16, 51, 87, 46, -40, 18, -25].\nTrace the execution of task_2 with inputs buses = task_2_buses_static, passengers = task_2_passengers_static.\n```python\nfrom typing import List\ndef task_2(buses: List[int], passengers: List[int], val_2: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_2\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [6, -3, 88, 1, -55, 95, -36, -78, 18, 100].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "100", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":80},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":100}]"}
{"id": "python/three_chain_target/48/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [15, 68, 78, -28, -40, 6, -40, -44, -8, 91]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_boardingCost_static = 67.\nDefine task_1_runningCost_static = 93.\nTrace the execution of task_1 with inputs boardingCost = task_1_boardingCost_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_1):\n        wait += list_1[i] if i < len(list_1) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-2, 14, 18, 78, 50, 78, 58, -82, -39, 7].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_2)\n    if nums[m] > val_2:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_2:\n                break\n            ans += nums[i] - val_2\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_2:\n                break\n            ans += val_2 - nums[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [72, -5, -87, -2, -36, -70, 83, -8, -1, 73].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "83", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":32},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":14},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":83}]"}
{"id": "python/three_chain_target/48/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 98}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [31, 44, -68, 65, 32, 96, -53, 78, -12, 40].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_2))\n    while i < n:\n        j = i + 1\n        while j < n and list_2[j - 1] - list_2[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-48, -15, 41, 69, -14, -74, -77, 0, 39, 42].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "69", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-68,-53,-12,31,32,40,44,65,78,96]},{\"node_id\":\"task_2\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":69}]"}
{"id": "python/three_chain_target/48/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 37}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 65.\nDefine task_1_bound_static = 78.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [39, 76, -71, -97, 95, -62, 96, 39, 63, 10].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_2, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [65, -38, 54, -80, 3, 43, 61, -5, -63, -79].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "65", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,66,38]},{\"node_id\":\"task_2\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":65}]"}
{"id": "python/three_chain_target/48/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 23}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -51.\nDefine task_1_bound_static = 67.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_2[1:]):\n        if list_2[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_2[1:]):\n        if list_2[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-84, 85, 33, 84, 44, -61, 48, -20, -68, 23].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "85", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-50,24,-28]},{\"node_id\":\"task_2\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":85}]"}
{"id": "python/three_chain_target/48/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [25, -98, 64, 37, -10, -62, -64, 74, -85, -96]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [-63, 99, 5, 25, 83, 9, -9, -50, -69, 14].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_2, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [29, -41, -33, 28, 55, -44, -67, -68, 49, 83].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "83", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,2,2,2,2,1,1,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":20},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":83}]"}
{"id": "python/three_chain_target/48/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 48, "target_native_task_name": "getWinner:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-90, -57, -32, -64, 25, 100, 0, -2, -40, -28]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -75.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    n = len(list_1)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_1[i] < list_1[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [16, 79, 79, 76, -72, 81, 90, -40, 32, 5].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_2 == 1:\n        python_result_2 = ans % mod\n        return python_result_2\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_2 - 2) * s + mx_pre + mx_suf)\n    python_result_2 = ans % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-47, -2, 53, -48, 36, 87, -25, 88, 34, 48].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_3:\n            break\n    python_result_3 = mx\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "88", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":1387},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":88}]"}
{"id": "python/three_chain_target/49/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 42}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -13.\nDefine task_1_bound_static = 86.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -84.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-12,43,29]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,-12,43,29]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,1,0]}]"}
{"id": "python/three_chain_target/49/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [97, -62, -78, 33, -77, -18, 100, 81, -65, 86]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 48.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,4,3,1,2,1,1,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-78,-77,-65,-62,-18,0,33,81,86,97]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-78,86,0,-62,-18,-65,33,81,-77,97]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,4,3,1,2,1,1,2,1,0]}]"}
{"id": "python/three_chain_target/49/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [14, 10, -77, -33, 19, -17, 79, 23, 1, -70]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_1[i]\n        while stk and list_1[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -24.\nDefine task_2_bound_static = 86.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":79},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-23,80,55]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,1,0]}]"}
{"id": "python/three_chain_target/49/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-14, -100, 58, -97, -15, -66, 85, -78, 96, 39]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_1):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-39, 44, -91, -83, 81, 11, -26, 9, -30, 24].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,3,1,1,3,2,1,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-39,44,-91,-83,81,9,-30,11,-26,24]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,3,1,1,3,2,1,2,1,0]}]"}
{"id": "python/three_chain_target/49/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -51}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-65, -63, 33, -66, 85, -53, -98, 8, 100, -67].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -71.\nDefine task_2_bound_static = 19.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":108},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-70,9,-63]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,1,0]}]"}
{"id": "python/three_chain_target/49/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [98, -84, 90, 90, 5, -53, 25, 98, 21, -16]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_trainers_static = [-66, 31, -83, 9, -98, 91, -42, 6, 36, 15].\nTrace the execution of task_1 with inputs trainers = task_1_trainers_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], trainers: List[int]) -> int:\n    list_1.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_1):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_1 = i\n            return python_result_1\n        j += 1\n    python_result_1 = len(list_1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [51, 7, -11, -84, -57, 56, -18, -2, -73, 17].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,2,3,1,1,3,1,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[51,7,-18,-84,-57,56,-11,-2,-73,17]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,2,3,1,1,3,1,2,1,0]}]"}
{"id": "python/three_chain_target/49/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -33}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 14.\nDefine task_1_bound_static = 69.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,15,-32,-19]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,-32,15,-19]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,1,0]}]"}
{"id": "python/three_chain_target/49/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-35, -49, 35, 78, 3, 95, 65, 37, -61, 11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [46, 43, 36, -28, 94, -72, 43, -97, 39, 73].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[3,2,1,2,1,3,1,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-35,-35,35,40,41,65,65,37,11,11]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[73,39,-97,43,-72,94,-28,36,46,-35,-35,35,40,41,65,65,37,11,11]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,2,1,2,1,3,1,1,1,0]}]"}
{"id": "python/three_chain_target/49/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-48, -67, 78, 92, 93, -68, 29, 41, -97, 28]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [69, -6, -27, -8, -30, -36, 34, 14, -40, -73].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_1), sum(nums2))\n    if s1 == s2:\n        python_result_1 = 0\n        return python_result_1\n    if s1 > s2:\n        python_result_1 = task_1(nums2, list_1)\n        return python_result_1\n    arr = [6 - v for v in list_1] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_1 = i\n            return python_result_1\n    python_result_1 = -1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [47, 26, 78, -14, -41, -35, -61, 55, 11, 27].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,2,3,1,2,1,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[47,26,78,-14,-41,-35,-61,55,11,27]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,2,3,1,2,1,2,1,0]}]"}
{"id": "python/three_chain_target/49/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -94}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 16.\nDefine task_1_bound_static = 5.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-93,-78]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,1,2]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,0]}]"}
{"id": "python/three_chain_target/49/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [40, -65, 37, 71, 72, 33, 85, 64, 85, -69]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = -43.\nDefine task_1_capacityB_static = 12.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 68.\nDefine task_2_bound_static = 31.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,10]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,0]}]"}
{"id": "python/three_chain_target/49/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-69, 99, 53, -57, -54, 6, -8, -20, 79, 32]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (l, r) = (0, len(list_1) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_1[l], list_1[r]) * (r - l)\n        ans = max(ans, t)\n        if list_1[l] < list_1[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -59.\nDefine task_2_bound_static = 74.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":553},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-58,54,-6]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,1,0]}]"}
{"id": "python/three_chain_target/49/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [69, 94, -34, 73, 49, 62, -23, -75, -8, -98]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_1):\n        if not stk or list_1[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_1) - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [2, 20, -7, -15, -72, -32, 66, -78, -97, -42].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,2,2,3,1,1,2,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[2,20,-7,-15,-78,-32,66,-72,-97,-42]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,2,3,1,1,2,2,1,0]}]"}
{"id": "python/three_chain_target/49/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -63}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [29, -83, -36, 88, -30, -13, -6, -70, -74, -84].\nDefine task_1_passengers_static = [78, -30, 46, 96, -15, -39, 13, 86, -84, -21].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 39.\nDefine task_2_bound_static = 43.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":88},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,40]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,0]}]"}
{"id": "python/three_chain_target/49/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -84}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -59.\nDefine task_1_bound_static = 93.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[3,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-58,-83,-143]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,-43,-43,2]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,1,1,0]}]"}
{"id": "python/three_chain_target/49/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 49, "target_native_task_name": "canSeePersonsCount:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 32.\nDefine task_1_bound_static = 81.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_3[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,33,-75,-44]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-75,-44]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,0]}]"}
{"id": "python/three_chain_target/50/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-23, 0, -4, 52, -85, 32, -41, 68, -73, -33]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-47, 24, -94, 11, -21, -57, -43, 68, 54, 17].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[41,18,52,135,145,223,323,298,176,105]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-47,24,-94,11,-21,-57,-43,68,54,17]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[41,18,52,135,145,223,323,298,176,105]}]"}
{"id": "python/three_chain_target/50/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-61, -52, -11, 35, -64, -77, 26, -77, 4, -30]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    k = 3\n    n = len(list_1)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_1[i % n] == list_1[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-96, -36, -53, -29, 15, -99, -54, -63, -34, -35].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[385,250,151,53,33,48,198,305,392,455]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-36,-63,-35,15,-96,-54,-53,-34,-29]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[385,250,151,53,33,48,198,305,392,455]}]"}
{"id": "python/three_chain_target/50/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [0, 15, -11, 79, 49, -54, -31, -68, -49, -24]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[18,32,42,48,50,48,42,32,18,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[18,32,42,48,50,48,42,32,18,0]}]"}
{"id": "python/three_chain_target/50/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [13, 21, -49, 62, -23, 66, -67, 85, 45, -99]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,8,6,4,2,0,3,5,7,9]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,2,1,2,1,2,1,0,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[0,2,0,2,0,2,1,1,1,1]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[10,8,6,4,2,0,3,5,7,9]}]"}
{"id": "python/three_chain_target/50/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 17}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [66, -35, 25, 33, -33, -6, -62, 37, 7, 39].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[362,331,289,199,51,58,126,217,289,335]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[66,-35,25,33,-33,-6,-62,37,7,39]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[5,26,16,74,74,35,33,58,14,32]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[362,331,289,199,51,58,126,217,289,335]}]"}
{"id": "python/three_chain_target/50/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-2, -61, 49, -26, -85, -91, 46, 94, 97, -25]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_1, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_1[i]:\n            right[i] = right[i + 1] + 1\n    python_result_1 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-36, -32, -59, 24, 34, -32, -97, -37, 96, 5].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[97,24,71,106,48,46,175,304,240,139]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-37,-36,-59,24,34,-32,-97,-32,96,5]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[97,24,71,106,48,46,175,304,240,139]}]"}
{"id": "python/three_chain_target/50/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 63}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-65, 65, 69, 3, 7, 37, -8, 58, -2, 25].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[49,30,13,0,12,25,36,45,52,57]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-65,-8,-2,3,7,25,37,58,65,69]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,5,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[49,30,13,0,12,25,36,45,52,57]}]"}
{"id": "python/three_chain_target/50/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 71}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [73, 29, 41, -59, 74, -7, 46, -10, -82, 76].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [79, 45, -32, 39, 16, -37, 76, 41, 23, 18].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[192,77,75,71,14,30,17,141,204,245]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[76,39,-37,41,16,-32,79,45,18,23]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[192,77,75,71,14,30,17,141,204,245]}]"}
{"id": "python/three_chain_target/50/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [0, -28, 93, 79, -68, 41, 49, 16, 71, -90]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_target_static = -13.\nTrace the execution of task_1 with inputs target = task_1_target_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], target: int) -> int:\n    list_1.sort()\n    (ans, n) = (0, len(list_1))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_1[i] + list_1[j] + list_1[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [87, -37, -99, -70, -82, 67, -45, -25, -84, 94].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[261,229,46,120,272,255,213,295,357,288]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":30},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[67,-99,-84,-82,-70,87,-45,-37,-25,94]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[261,229,46,120,272,255,213,295,357,288]}]"}
{"id": "python/three_chain_target/50/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 64}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [18, -61, 26, -72, 71, 36, -55, 68, 84, 91].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [33, 5, 91, -78, 82, -67, -55, 13, 91, -54].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[139,284,406,515,564,546,500,385,212,30]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":64},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-78,-67,-55,-54,5,13,33,82,91,91]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[139,284,406,515,564,546,500,385,212,30]}]"}
{"id": "python/three_chain_target/50/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [71, 15, 50, -79, 85, -86, -38, 40, 90, 4]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-33, -77, 11, 52, -14, -13, -77, -76, 72, 81].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[86,239,235,82,8,35,3,66,44,3]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[81,72,-76,-77,-13,-14,52,11,-33,-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[86,239,235,82,8,35,3,66,44,3]}]"}
{"id": "python/three_chain_target/50/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-16, -86, -10, 79, -8, 89, 94, -32, -96, 27]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_1)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_1 = (dfs(list_1) - 1 + mod) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-69, 86, 45, -69, -41, -2, -85, 52, 55, 69].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[110,93,38,14,96,139,226,259,152,28]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":1007},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-69,86,45,-69,-41,-2,-85,52,55,69]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[110,93,38,14,96,139,226,259,152,28]}]"}
{"id": "python/three_chain_target/50/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -13}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [22, -23, 73, 15, -62, -84, -26, 41, 10, 61].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-88, -79, 5, 29, -58, -29, 24, -46, 63, 31].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[60,107,181,147,176,263,268,290,273,179]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-13},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-88,-79,5,29,-58,-29,24,-46,63,31]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[60,107,181,147,176,263,268,290,273,179]}]"}
{"id": "python/three_chain_target/50/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-17, 94, 24, 27, 65, 3, -59, 83, 22, 63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[18,32,42,48,50,48,42,32,18,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[18,32,42,48,50,48,42,32,18,0]}]"}
{"id": "python/three_chain_target/50/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [38, -51, -7, -90, -88, 93, -72, 79, 81, -47]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[13,13,13,12,10,6,2,0,2,8]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[5,1,3,1,1,0,1,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[0,0,0,1,1,3,1,1,1,5]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[13,13,13,12,10,6,2,0,2,8]}]"}
{"id": "python/three_chain_target/50/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 50, "target_native_task_name": "leftRightDifference:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-53, 5, 72, -25, -25, -93, 67, -8, 54, 24]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -18.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_3[i - 1]\n    total = sum(list_3)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_3[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_3 = answer\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[383,293,232,185,135,27,125,244,358,448]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[71,119,42,5,45,163,189,130,84,6]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[71,19,42,5,45,63,89,30,84,6]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[383,293,232,185,135,27,125,244,358,448]}]"}
{"id": "python/three_chain_target/51/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 5}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-56, -35, 32, -67, 92, 14, -9, -21, -13, 43].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -56.\nDefine task_2_bound_static = 89.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-55,8,-49,50,-7]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/51/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [52, -73, -65, -27, 34, -34, -69, -3, 63, -32]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    if list_1[0] <= list_1[-1]:\n        python_result_1 = list_1[0]\n        return python_result_1\n    (left, right) = (0, len(list_1) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_1[0] <= list_1[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_1 = list_1[left]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [8, 39, -33, -65, 43, -35, 79, -52, -17, -17].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-73},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[8,39,-33,-65,43,-35,79,-52,-17,-17]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/51/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-20, -26, -46, -20, 1, -52, 38, -81, -69, 13]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-19, -37, -82, -22, 27, -53, 74, 7, -2, 74].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-3,-1,1,3,5,7,9]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[74,-2,7,-53,27,-22,-82,-37,-19,-8,-6,-4,-3,-1,1,3,5,9]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/51/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [61, -36, -71, -56, 62, 26, 9, -55, -97, 7]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -71.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[61,-36,-71,-56,62,26,9,-55,-97,7]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,4,9,8,3,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/51/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-37, -31, 53, -48, 59, 61, -76, 53, -47, 2]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_1):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -73.\nDefine task_2_bound_static = 70.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-72,8,-66,50,-24]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/51/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 28}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [48, -40, 93, -50, -15, -68, -2, -51, 42, -7].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[42,-68,93,-51,-50,-40,-15,-7,48,-2]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[92,66,91,133,32,58,113,135,94,48]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/51/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [68, -68, 24, 88, -93, 15, -90, -90, -100, 77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_1)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_1 = (dfs(list_1) - 1 + mod) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -98.\nDefine task_2_bound_static = 97.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":719},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-97,20,-79]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/51/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -2}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [38, -17, -11, -33, 80, 56, -69, 68, -80, 2].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[38,-17,-11,-33,80,56,-69,68,-80,2]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[4,25,3,47,0,136,123,122,110,32]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/51/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 7.\nDefine task_1_bound_static = 7.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-48, -95, -13, 51, 24, -98, 22, -2, -100, 85].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-95,-89,-47]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-48,-95,-14,48,22,-99,22,-97,-190,36]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/51/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-37, -42, 1, 52, -64, 85, -51, -15, 73, -68]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [30, 86, 55, 61, -58, 55, -45, -19, -6, 38].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 23.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[38,-6,-19,-45,55,-58,61,86,30,-37,-42,1,52,-64,85,-51,-15,73,-68]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[30,-58,-45,-37,38,-19,55,86,61,-6]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/51/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 53}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_1:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_1:\n        ans += 1\n        s += k\n        k += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [95, -28, 97, -77, -23, 17, -43, 54, -12, 31].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":21},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[95,-43,97,-77,-28,17,-23,54,-12,31]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/51/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [68, -68, 25, -39, -50, -19, -88, -22, -66, -29]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    g = []\n    for x in list_1:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_1 = len(g)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 5.\nDefine task_2_bound_static = 59.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "15", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,6,26,6,10,30,26,30,50]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":15}]"}
{"id": "python/three_chain_target/51/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 72}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [88, 74, 75, -78, 51, -82, -11, 40, 74, 67].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 3.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "31", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,-78,-11,40,51,67,74,74,75,88]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-82,-78,-11,40,51,67,74,74,75,88]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":31}]"}
{"id": "python/three_chain_target/51/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [80, -47, 100, -26, 59, 28, 46, 87, 84, -28]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[7,1,3,1,6,1,2,10,2,1]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[7,1,3,1,6,1,2,10,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/51/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [72, 89, 20, 73, 29, -52, 48, -72, 22, -85]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [100, -53, 45, 33, 47, 99, 65, 11, 96, 51].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[51,96,11,65,99,47,33,45,-53,100,72,89,20,73,29,-52,48,-72,22,-85]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/51/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 51, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-59, -85, -14, 89, 84, 53, -58, 5, -2, -75]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[44,25,8,7,20,31,40,47,52]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/52/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-87, -87, -45, -79, -81, 32, 0, -20, 14, -27]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] > list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_1 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_1))) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-7, 48, 37, -52, 92, 77, 70, 50, 98, -97].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_2)\n    if nums[m] > val_2:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_2:\n                break\n            ans += nums[i] - val_2\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_2:\n                break\n            ans += val_2 - nums[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "21", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999996484},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":55},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":21}]"}
{"id": "python/three_chain_target/52/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -71}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 25.\nDefine task_1_bound_static = 77.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    s = set()\n    for n in list_2:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_2 = len(s)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,26,-70,-46]},{\"node_id\":\"task_2\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/52/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -20}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [-99, -67, 93, 40, -33, 41, -45, -45, -37, 52].\nDefine task_1_runningCost_static = -17.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [78, 22, -23, -22, 8, 6, -14, -17, -59, -33].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "28", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":78},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":28}]"}
{"id": "python/three_chain_target/52/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -21}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [57, -14, 14, 59, 72, 12, 40, -60, 37, -9].\nDefine task_1_capacityB_static = -24.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_2:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_2:\n        ans += 1\n        s += k\n        k += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/52/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-53, -63, -30, -8, 81, -53, -44, -36, 68, 97]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_s_static = [-36, 67, -2, 90, -50, 35, 38, -1, 56, -19].\nTrace the execution of task_2 with inputs s = task_2_s_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], s: List[int]) -> int:\n    list_2.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_2):\n        while j < len(s) and s[j] < list_2[i]:\n            j += 1\n        if j >= len(s):\n            python_result_2 = i\n            return python_result_2\n        j += 1\n    python_result_2 = len(list_2)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-53,-53,-30,-8,-8,-44,-44,-36,68,97]},{\"node_id\":\"task_2\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":6}]"}
{"id": "python/three_chain_target/52/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [82, -13, -6, 10, 5, 6, -13, -20, 87, 3]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [4, 84, -76, 30, 75, -100, -22, -59, 64, 75].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_2, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[8,1,1,5,1,3,2,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":20},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":10}]"}
{"id": "python/three_chain_target/52/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [42, -89, 78, -52, -14, 85, -80, 74, 87, -40]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_2) - 1):\n        if list_2[i] == list_2[i + 1]:\n            continue\n        if list_2[i] > list_2[j] and list_2[i] > list_2[i + 1]:\n            ans += 1\n        if list_2[i] < list_2[j] and list_2[i] < list_2[i + 1]:\n            ans += 1\n        j = i\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[42,-5,-6,-14,-14,2,3,74,74,-40]},{\"node_id\":\"task_2\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/52/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 20}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [-4, -37, -93, 34, 60, -76, -3, 85, -17, 74].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-15, 68, -5, -85, 36, -56, -78, 45, 72, -47].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "26", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":68},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":26}]"}
{"id": "python/three_chain_target/52/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [2, 19, 6, 15, -63, 88, 47, 47, -27, -5]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_1[l] > list_1[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_1[j] > list_1[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_1[i] < list_1[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_1[j] > list_1[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_1 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_2:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_2:\n        ans += 1\n        s += k\n        k += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/52/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -5}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 47.\nDefine task_1_bound_static = 50.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_2) - 1):\n        if list_2[i] == list_2[i + 1]:\n            continue\n        if list_2[i] > list_2[j] and list_2[i] > list_2[i + 1]:\n            ans += 1\n        if list_2[i] < list_2[j] and list_2[i] < list_2[i + 1]:\n            ans += 1\n        j = i\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,48,-4,42,26,-124,-78]},{\"node_id\":\"task_2\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/52/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [9, 75, 92, -52, -50, -30, -33, 97, -47, 5]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] > list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_2 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_2))) % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "20", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[25,2209,9409,1089,900,2500,2704,8464,5625,81]},{\"node_id\":\"task_2\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":447},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":20}]"}
{"id": "python/three_chain_target/52/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-26, 73, 96, -96, 19, 42, 99, 78, 35, -54]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_1)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_1 = (dfs(list_1) - 1 + mod) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [80, -13, -35, -90, 100, -40, 97, 27, -37, 9].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_2:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "25", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":1439},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":65},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":25}]"}
{"id": "python/three_chain_target/52/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 11}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -66.\nDefine task_1_energy_static = [22, -17, -29, 7, -10, -42, -46, -63, -12, 82].\nDefine task_1_experience_static = [95, -58, -50, -31, 90, 18, -17, 41, 93, 39].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-8, -75, 47, -16, 97, 50, 11, -87, 58, 30].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":201},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":3}]"}
{"id": "python/three_chain_target/52/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 64}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [-3, 22, 67, -67, 1, 45, -58, 37, -44, -53].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/52/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -70}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-46, 97, -49, 45, 44, 69, -32, 60, 21, -4].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_2[i]\n        while stk and list_2[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_2)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "15", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-46,97,-49,45,44,69,-32,60,21,-4]},{\"node_id\":\"task_2\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":132},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":15}]"}
{"id": "python/three_chain_target/52/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 52, "target_native_task_name": "minimumBoxes:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-4, -77, 81, 98, 69, 66, -78, -55, 33, 48]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = 90.\nDefine task_1_capacityB_static = 83.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_initialExperience_static = 76.\nDefine task_2_energy_static = [92, -40, 95, 94, 59, 35, -44, 61, 48, 75].\nDefine task_2_experience_static = [-45, -94, -88, -36, 7, 74, -46, 74, 23, -24].\nTrace the execution of task_2 with inputs initialExperience = task_2_initialExperience_static, energy = task_2_energy_static, experience = task_2_experience_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_2)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_2 = energy_hours + exp_hours\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_3:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_3:\n        ans += 1\n        s += k\n        k += 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "14", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":729},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":14}]"}
{"id": "python/three_chain_target/53/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 93}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [31, 40, 38, 48, -98, 69, 9, 42, -33, -29].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":19},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[31,38,40,42,-98,69,9,48,-33,-29]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/53/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 93}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-87, -27, -34, 20, 9, 98, -85, -41, 16, 2].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-85,-41,-34,-27,2,9,16,20,98]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/53/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-67, -52, -59, 79, 60, -71, 37, 98, -54, 15]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-54,-52,98,60,79,-71,37,-59,-67,15]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[225,4489,3481,1369,5041,6241,3600,9604,2704,2916]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/53/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -37}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [30, 33, 45, 65, 15, -18, 67, 4, -98, 4].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[30,33,45,65,15,-18,67,4,-98,4]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[30,4,-98,4,-18,15,67,65,45,33]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/53/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -33.\nDefine task_1_energy_static = [-7, -37, -55, -18, 66, -48, -46, 4, 36, -62].\nDefine task_1_experience_static = [99, -52, -35, -42, 90, -9, -38, -78, -96, 67].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [26, 61, -21, -57, -70, 46, 72, -54, -57, 2].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":262},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-70,-57,-57,-54,-21,2,26,46,61,72]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/53/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [72, -20, -66, -86, 59, 41, -77, -92, 32, 28]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_1:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-30, 56, 6, -33, -72, 14, 15, 59, -48, -42].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-48,56,6,-42,-72,14,15,59,-33,-30]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/53/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [90, -61, 42, 27, -57, 79, -55, 14, -100, -39]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = 85.\nDefine task_1_capacityB_static = 27.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 96.\nDefine task_2_bound_static = 84.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,3,5,9,17,33,65]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/53/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 3}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-95, -6, -59, 90, 80, 56, -92, -49, 95, -15].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-6,-59,90,80,56,-92,-49,95,-15]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/53/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -9}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [89, -42, 50, 80, 49, 69, -43, 36, -8, -27].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-35, 49, -46, -67, -51, 23, 5, 21, 60, 28].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[89,-42,50,80,49,69,-43,36,-8,-27]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[28,60,21,5,23,-51,-67,-46,49,-35,89,-42,50,80,69,-43,36,-8,-27]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/53/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 53}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -97.\nDefine task_1_bound_static = 23.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-32, 28, 7, 15, -18, 9, -30, 52, -69, 72].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-96]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-33,25,4,13,-19,7,-31,50,-67,-24]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/53/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [66, 69, -50, 13, -96, -63, 61, -62, -87, -22]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (left, right) = (0, len(list_1) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_1[mid] > list_1[right]:\n            left = mid + 1\n        elif list_1[mid] < list_1[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_1 = list_1[left]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-69, 41, 22, -92, -43, -9, -56, 77, -21, -40].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-96},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-69,41,22,-92,-43,-9,-56,77,-21,-40]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/53/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 12}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-21, -8, -73, 47, -5, -3, 53, 80, -15, -22].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-22,-21,-73,47,-15,-8,53,80,-5,-3]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/53/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [40, -45, -85, 27, 66, -12, 67, 59, 33, -41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[4,2,1,3,6,1,10,3,2,1]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[4,2,1,3,6,1,10,3,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/53/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-36, -46, -24, 25, -3, -8, 15, -30, -40, -56]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_target_static = 0.\nTrace the execution of task_1 with inputs target = task_1_target_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], target: int) -> int:\n    list_1.sort()\n    (ans, n) = (0, len(list_1))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_1[i] + list_1[j] + list_1[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-27, 42, -9, 81, -13, 55, 14, 69, -95, -53].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":112},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-27,42,-13,69,-9,55,14,81,-95,-53]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/53/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -72}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 22.\nDefine task_1_energy_static = [-50, -99, -17, 39, 10, -43, -63, 15, -86, 36].\nDefine task_1_experience_static = [-90, 82, 28, -55, 13, -12, 11, 19, 3, -33].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-16, 13, 36, 46, 83, 46, 61, -88, 37, 24].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":151},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-16,13,24,36,37,46,46,-88,61,83]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/53/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 53, "target_native_task_name": "lenLongestFibSubseq:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 42}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [41, 90, 16, 83, 53, -77, -41, -100, -68, -73].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_3)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_3[i] - list_3[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[16,41,53,83,90,-100,-77,-73,-68,-41]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,3,4,10,5,1,2,3,4]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/54/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [77, -25, 30, 24, 62, -1, 21, -28, 24, 62]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [-88, -33, -83, -98, 88, -1, -8, 64, 26, -96].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[44,25,8,7,20,31,40,47,52]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/54/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -18}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [58, 22, -45, 31, -25, -91, 9, 66, -26, -84].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-25, 99, 62, 74, 80, 73, -50, -42, -43, 76].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [19, -45, 52, 47, -24, -89, 15, -70, 75, 95].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-25,99,62,73,74,76,-50,-43,-42,80]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/54/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [86, -23, 43, -72, 35, -76, -92, 1, 71, -60]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [6, -14, -62, -33, -98, 77, -49, -97, -10, -52].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[0,1,6,1,4,2,1,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[0,0,6,0,4,2,1,1,1,1]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/54/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -100}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-79, 58, 100, -66, -44, 76, -55, 75, -74, 80].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [-13, -56, -85, 100, 32, -57, -83, 69, 4, 87].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-79,58,100,-66,-44,76,-55,75,-74,80]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/54/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [70, -14, -31, -39, -93, 48, 70, -97, -38, 4]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_1:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 36.\nDefine task_2_bound_static = 100.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [14, 42, 98, -26, 86, 75, -62, -62, -86, 81].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":11},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,37,12,47]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/54/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [97, -68, 94, 100, 18, 86, 54, 18, -64, -53]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [3, -1, 43, 11, 19, -48, 4, -15, -27, -17].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-93, -51, 68, -66, 30, -15, -47, 86, 33, -50].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [-3, 36, -13, 20, -48, 52, -39, -35, 19, 7].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,98,-70,134,8,34,35,55,1,-91,-70]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-50,33,86,-47,-15,30,-66,68,-51,-93,1,1,98,-70,34,8,34,35,55,1]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/54/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [52, 5, 97, 14, -48, -24, -46, 43, -57, 52]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-66, -72, 27, -14, 8, -51, 100, -16, 94, 33].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_1[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_1[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_1 = m\n                return python_result_1\n    python_result_1 = max((f[i][i] + (list_1[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 39.\nDefine task_2_bound_static = 97.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [-43, -25, 0, 72, 31, -43, -64, 53, 90, -46].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,40,7,45,37,75]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/54/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-3, -29, 66, -9, -95, 58, -48, -98, -14, 6]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-49, -48, -43, 42, 76, 3, 93, 59, 76, -78].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [30, -82, -50, 28, 86, -71, 89, -1, -86, -43].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-49,-38,-35,47,80,6,95,60,77,-76]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/54/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [82, 4, 59, -21, -59, 95, -53, 59, 95, 92]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_1):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_1[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [64, -64, 30, 14, -18, -9, -39, -19, -12, -4].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [-91, -35, -42, 89, -42, 22, -49, -46, -97, 45].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":412},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[64,-64,30,14,-19,-18,-39,-12,-9,-4]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/54/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 55}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -82.\nDefine task_1_bound_static = 46.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [48, 15, -62, 52, 25, 64, -99, 9, -47, 3].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-81]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/54/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 10}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [82, 25, -97, -24, -52, 83, 27, 69, 57, 66].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 16.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [93, -99, -47, 79, 56, -11, 88, 43, 62, 19].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[82,25,-97,-24,-52,83,27,57,66,69]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[57,25,-97,-24,-52,66,27,69,82,83]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/54/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [40, -71, -19, 79, -90, 63, 28, 36, 34, 13]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [-10, 94, -84, 14, -68, -88, 35, -60, -62, -94].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[169,1156,1296,784,3969,8100,6241,361,5041,1600]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[96,96,-1,96,96,41,61,69,69,69]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/54/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 79.\nDefine task_1_energy_static = [-20, 40, 10, 35, 38, -89, -76, 50, -46, -75].\nDefine task_1_experience_static = [-93, 37, 81, -14, -75, -26, 70, 66, -82, 34].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [96, 15, 68, -74, 96, 8, -86, 90, -45, -69].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [81, 39, 42, -43, 77, 4, -80, -81, 34, 61].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":82},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,-74,-69,-45,8,15,68,90,96,96]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/54/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [73, -93, 78, 65, -43, 77, -32, -34, 46, -87]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [-91, -52, 76, -86, -35, -25, 42, 91, 19, -48].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[18,32,42,48,50,48,42,32,18,0]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/54/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [66, -19, 28, -30, 50, -57, 85, 17, -28, 54]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -100.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    if list_1[0] > k:\n        python_result_1 = k\n        return python_result_1\n    (left, right) = (0, len(list_1))\n    while left < right:\n        mid = left + right >> 1\n        if list_1[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = list_1[left - 1] + k - (list_1[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-69, 1, 61, -24, 99, 61, -45, 86, -72, -65].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [24, -11, -28, 77, 34, 91, 67, -2, 4, -77].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-100},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-69,1,61,-24,99,61,-45,86,-72,-65]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/54/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 54, "target_native_task_name": "matchPlayersAndTrainers:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [59, 39, 49, 11, -59, 59, -8, 32, -94, 11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_trainers_static = [74, 42, 100, 12, 97, -38, -10, 89, 77, 1].\nTrace the execution of task_3 with inputs trainers = task_3_trainers_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], trainers: List[int]) -> int:\n    list_3.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_3):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_3 = i\n            return python_result_3\n        j += 1\n    python_result_3 = len(list_3)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,1,2,2,1,2,1,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-2,-1,0,0,0,0,0,1,2,4]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/55/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 33}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [18, -20, -56, -64, -84, 37, 7, 81, 100, 93].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [5, 53, 47, -17, -28, 13, 59, 99, -77, -19].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "135", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":58},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-77,-28,-19,-17,5,13,47,53,59,99]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":135}]"}
{"id": "python/three_chain_target/55/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-35, 98, 86, -79, -38, -27, 67, 69, 61, 42]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "34", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-35,86,86,-38,-38,-27,67,67,61,42]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,10,10,2,2,3,7,7,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":34}]"}
{"id": "python/three_chain_target/55/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [12, 77, 44, 84, -14, -100, 74, 6, 37, -43]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [-44, 70, -50, -67, 74, 98, -63, 42, -38, 20].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    nums = [a - b for (a, b) in zip(list_1, nums2)]\n    nums.sort()\n    (l, r) = (0, len(nums) - 1)\n    ans = 0\n    while l < r:\n        while l < r and nums[l] + nums[r] <= 0:\n            l += 1\n        ans += r - l\n        r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 60.\nDefine task_2_bound_static = 80.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "93", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":29},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,61,30]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":93}]"}
{"id": "python/three_chain_target/55/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [46, -55, -62, 20, 18, -26, -65, 19, -89, -77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 1.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[0,2,1,0,3,2,1,0,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[0,0,0,0,1,1,1,2,2,3]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/55/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-74, -83, 13, 89, -72, 35, -76, -20, -30, 7]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,1,2,1,3,1,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[5,2,1,2,1,0,1,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/55/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -1}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-65, 92, -66, -15, 81, 61, -54, -32, 23, -56].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "169", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-65,92,-66,-15,81,61,-54,-32,23,-56]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-65,92,81,61]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":169}]"}
{"id": "python/three_chain_target/55/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [68, 4, 27, -50, 38, 16, -99, 1, -33, -22]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -83.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,1,2,1,1,2,1,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[3,1,2,1,1,2,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/55/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 4}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [42, -41, -50, -64, 38, -76, -83, 30, -11, 4].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "162", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[38,-41,-50,-64,42,-76,-83,30,-11,4]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[42,42,42,42,-1,30,30,38,4,38]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":162}]"}
{"id": "python/three_chain_target/55/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -59.\nDefine task_1_bound_static = 85.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-58,77,17]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/55/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-11, 48, -56, -50, 45, -77, 38, 34, 57, 61]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "35", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[10,2,8,4,6,5,7,3,9]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":35}]"}
{"id": "python/three_chain_target/55/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -25}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -92.\nDefine task_1_bound_static = 44.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "160", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-91,-24,-117]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[132,43,72,113]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":160}]"}
{"id": "python/three_chain_target/55/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [74, 1, -7, -83, -25, 87, -49, -27, -16, 7]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -21.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "13", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,2,3,1,1,4,1,1,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,2,3,1,1,4,1,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":13}]"}
{"id": "python/three_chain_target/55/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 19}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [99, -74, -33, -37, 49, -28, -57, -87, -34, -5].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "23", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[99,-87,-37,-34,49,-33,-74,-57,-28,-5]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[10,1,2,3,9,3,1,2,4,5]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":23}]"}
{"id": "python/three_chain_target/55/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -84}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [80, -45, 78, -38, -78, -84, -88, 27, 92, -5].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "54", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[80,-45,78,-38,-78,-84,-88,27,92,-5]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":54}]"}
{"id": "python/three_chain_target/55/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -11}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [20, -62, 31, -97, -61, -44, 77, -31, -2, -60].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "189", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[20,-62,31,-97,-61,-44,77,-31,-2,-60]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[249,207,176,110,48,153,120,74,107,169]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":189}]"}
{"id": "python/three_chain_target/55/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 55, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [58, 2, 64, 18, -74, -15, -17, -53, 57, 41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_3[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_3[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_3[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_3[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_3[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_3 = max_total\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "218", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[44,25,8,7,20,31,40,47,52]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":218}]"}
{"id": "python/three_chain_target/56/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 51}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -3.\nDefine task_1_bound_static = 33.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-2,10,-26]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,-2,10,-26]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/56/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -20}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-61, -48, -62, -43, -74, -26, -21, -60, 51, 89].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [51, 65, 45, -87, -61, 58, -93, -14, -84, 1].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "135", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":30},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[45,51,58,-93,-87,65,-84,-14,-61,1]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":135}]"}
{"id": "python/three_chain_target/56/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 20}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [-11, 3, 14, -44, -59, -62, -56, -1, -73, -5].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -32.\nDefine task_2_bound_static = 94.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-31,11,-22]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/56/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-45, -8, -1, -16, -95, -47, 23, -13, 22, -17]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -62.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    n = len(list_1)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_1[i] < list_1[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-60, 14, 31, -31, 27, -71, -57, -35, 72, 54].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "108", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-60,14,27,-35,31,-71,-57,-31,72,54]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":108}]"}
{"id": "python/three_chain_target/56/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [25, -74, 38, -69, 47, 49, -83, -24, 21, 70]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [34, -14, 84, -64, -45, -46, 88, 80, -29, 75].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -60.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "57", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,57,-89,120,-133,1,0,2,54,-9,143]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[1,1,57,-89,20,-33,1,0,2,54]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":57}]"}
{"id": "python/three_chain_target/56/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-59, -16, -96, -47, 81, -57, 65, -76, 72, 41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_target_static = -10.\nTrace the execution of task_1 with inputs target = task_1_target_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], target: int) -> int:\n    list_1.sort()\n    (ans, n) = (0, len(list_1))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_1[i] + list_1[j] + list_1[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-24, -36, 51, -73, 10, 28, -68, -6, -68, -25].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "56", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":71},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-73,-68,-68,-36,-25,-24,-6,10,28,51]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":56}]"}
{"id": "python/three_chain_target/56/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-48, -82, 82, -89, 2, -52, -91, 50, 11, -3]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    k = 3\n    n = len(list_1)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_1[i % n] == list_1[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-98, -40, 83, 11, -77, 0, 57, -98, -32, -7].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "83", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-98,-40,83,11,-77,-7,57,-98,-32,0]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":83}]"}
{"id": "python/three_chain_target/56/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-48, 4, -58, 20, -80, 51, -90, -16, 73, 74]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [33, 85, 76, -27, -91, -54, -65, -20, 69, 94].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "152", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[16,3364,400,6400,2601,8100,256,2304,5329,5476]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[94,69,-20,-65,-54,-91,-27,76,85,33,16,64,0,0,1,0,56,4,29]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":152}]"}
{"id": "python/three_chain_target/56/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -75}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-62, 9, 89, 46, -15, 42, -7, 91, 11, -13].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-70, -97, -21, -16, -73, 34, 11, -19, 47, -56].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "68", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":457},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,-73,-70,-56,-21,-19,-16,11,34,47]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":68}]"}
{"id": "python/three_chain_target/56/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 41}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-91, -74, -19, 15, -90, -24, 54, -67, 66, -77].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -55.\nDefine task_2_bound_static = 27.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":151},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-54]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/56/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-62, 79, 36, 97, 96, -16, 41, -99, 10, 10]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (left, right) = (0, len(list_1) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_1[mid] > list_1[right]:\n            left = mid + 1\n        elif list_1[mid] < list_1[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_1 = list_1[left]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [95, -46, -89, 47, 85, -26, 39, -42, 23, -82].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "95", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-99},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[95,-46,-89,47,85,-26,39,-42,23,-82]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":95}]"}
{"id": "python/three_chain_target/56/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-4, -99, 88, -89, -97, -48, 64, 100, -70, -38]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [74, -54, 77, -36, 24, -73, -8, 30, 94, 52].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "104", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,3,2,1,1,1,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[52,94,30,-8,-73,24,-36,77,-54,74,2,1,3,2,1,1,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":104}]"}
{"id": "python/three_chain_target/56/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-84, -71, 37, -13, 14, 46, 29, 90, -43, 76]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "12", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[165,320,354,330,329,269,194,75,28,5]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[5,1,4,2,1,6,10,3,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":12}]"}
{"id": "python/three_chain_target/56/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 37.\nDefine task_1_bound_static = 41.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-28, -33, 7, 41, 3, -8, 51, 12, -52, 47].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "77", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,38,32]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-28,-34,4,38,1,-9,48,12,-15,77]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":77}]"}
{"id": "python/three_chain_target/56/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 82}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -100.\nDefine task_1_bound_static = 33.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -17.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-99]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,-99]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/56/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 56, "target_native_task_name": "largestRectangleArea:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [30, 66, 55, 63, 73, -16, -44, 16, -23, 87]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_3[i]\n        while stk and list_3[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_3 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "200", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[30,66,16,-44,-16,73,63,55,-23,87]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[256,1936,256,5329,3969,3025,529,4356,900,7569]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":200}]"}
{"id": "python/three_chain_target/57/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-1, -51, -43, 2, -12, 27, 55, 30, -22, 57]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [46, -95, 44, -3, -48, 57, 11, -91, 38, 58].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    list_2.sort()\n    n = len(list_2)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_2[i] % list_2[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_2[k] % list_2[i] == 0 and f[i] == m:\n            ans.append(list_2[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[58,38,-91,11,57,-48,-3,44,-95,46,-1,-51,-43,2,-12,27,55,30,-22]},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[44,11]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/57/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [91, 29, -22, 97, -54, -47, 51, 44, -47, 85]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "729", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[484,841,9409,2916,2209,2601,1936,2209,7225,8281]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[84,41,13,12,9,9,22,23,25,81]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":729}]"}
{"id": "python/three_chain_target/57/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [88, -28, -4, -51, 42, 64, 20, -69, -96, -47]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "36", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[4,1,2,1,1,1,2,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-2,-1,0,0,0,0,0,1,2,4]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":36}]"}
{"id": "python/three_chain_target/57/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -56}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [11, 16, 10, -3, 90, -96, 57, -16, -71, 95].\nDefine task_1_runningCost_static = -74.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-85, 50, 48, -80, -34, -31, 86, -73, 29, -35].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "543", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-85,48,50,-80,-35,-34,86,-73,29,-31]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":543}]"}
{"id": "python/three_chain_target/57/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 85}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [13, -35, 88, 81, -98, -34, 39, -86, -50, -1].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 18.\nDefine task_2_bound_static = 51.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":169},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,19]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":19}]"}
{"id": "python/three_chain_target/57/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [88, -64, -81, -82, 38, -72, 49, 47, 59, -79]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "614", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,38,38,38,49,49,59,59,88,88]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[38,49,49,49,59,59,88,88,-1,-1]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":614}]"}
{"id": "python/three_chain_target/57/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-60, 92, -75, -55, 98, -50, -60, 8, -36, -4]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "78", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,4,1,2,10,2,1,5,1,2]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[4,10,2,10,-1,5,5,10,2,4]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":78}]"}
{"id": "python/three_chain_target/57/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 41}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 51.\nDefine task_1_bound_static = 50.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-84, 86, -63, 61, -98, 32, -95, -100, 55, 94].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "604", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,42]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[94,55,-100,-95,32,-98,61,-63,86,-84,2,42]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":604}]"}
{"id": "python/three_chain_target/57/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [45, -19, 66, 9, -75, 46, 6, 53, -12, 81]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    list_1.sort()\n    n = len(list_1)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[i] % list_1[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_1[k] % list_1[i] == 0 and f[i] == m:\n            ans.append(list_1[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[45,9]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[45,9]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/57/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [12, -98, -6, 67, 16, -68, 30, -62, 85, -7].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-76, 67, 31, -51, 2, -35, -25, -95, -81, -12].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "42", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,67,31,-51,2,-35,-25,-95,-76,-12]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":42}]"}
{"id": "python/three_chain_target/57/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -77}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [90, 81, -47, 45, -84, -93, 14, -37, -83, -61].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [24, 58, 48, -94, 26, 76, -24, 37, -97, -84].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "112", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[90,81,-47,45,-84,-93,14,-37,-83,-61]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,111,137,1,-49,-58,-17,-10,0,-180,-145]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":112}]"}
{"id": "python/three_chain_target/57/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 16}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-19, 20, -54, 97, -52, -10, -99, -80, 85, 93].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-66, -84, 12, -65, 20, -61, 33, -1, -73, 56].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "459", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-19,20,-54,85,-52,-10,-99,-80,93,97]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-85,-64,-43,18,-32,-71,-66,-82,17,151]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":459}]"}
{"id": "python/three_chain_target/57/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-60, 77, 82, 91, 52, 30, 30, 29, 55, 14]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_1))\n    while i < n:\n        j = i + 1\n        while j < n and list_1[j - 1] - list_1[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -91.\nDefine task_2_bound_static = 99.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-56", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":11},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-90,12,-80]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":-56}]"}
{"id": "python/three_chain_target/57/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [90, 27, -44, -93, 52, -74, -32, 95, 99, -70]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -6.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "873", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[90,27,-44,-93,52,-74,-32,95,99,-70]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[95,52,52,52,95,-32,95,99,-1,90]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":873}]"}
{"id": "python/three_chain_target/57/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 39}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [28, 17, 65, 5, -8, -15, -48, -65, 13, -35].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "90", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-65,-48,-35,-15,-8,5,13,17,28,65]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":90}]"}
{"id": "python/three_chain_target/57/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 57, "target_native_task_name": "maxScore:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-79, -53, 88, 53, -29, 58, -30, 81, 53, 74]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_1)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_1[0]\n    for (i, v) in enumerate(list_1):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -64.\nDefine task_2_bound_static = 55.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_3[j] * (j - i)\n        i = j\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-63", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":5073},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-63]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":-63}]"}
{"id": "python/three_chain_target/58/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [61, -61, -34, -64, -98, 43, 37, -80, -81, 22]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -23.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-23", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,-34,43,43,43,61,61,22,22,61]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-1,-34,43,43,43,61,61,22,22,61]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-23}]"}
{"id": "python/three_chain_target/58/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-80, 35, 78, 15, 56, 13, 91, -34, -14, -68]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [95, 7, -40, -41, 58, 41, -60, -75, -73, -36].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -92.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-92", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,6,1,3,1,10,1,3,1]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-36,-73,-75,-60,41,58,-41,-40,7,95,1,2,6,1,3,1,10,1,3,1]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-92}]"}
{"id": "python/three_chain_target/58/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-43, -63, -40, -61, -83, -46, -61, 20, -94, 57]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 26.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -13.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-13", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-7,-5,-3,-2,0,2,3,5,7,9]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-7,-5,-3,-2,0,2,3,5,7,9]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-13}]"}
{"id": "python/three_chain_target/58/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [25, -36, 14, -35, -89, 87, 91, -67, 86, -25]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -64.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    list_1.sort()\n    n = len(list_1)\n    m = n >> 1\n    ans = abs(list_1[m] - k)\n    if list_1[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_1[i] <= k:\n                break\n            ans += list_1[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_1[i] >= k:\n                break\n            ans += k - list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-73, -53, -54, 89, -43, -74, 81, 31, -26, 46].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 82.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "92", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":174},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-74,-73,-54,-53,-43,-26,31,46,81,89]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":92}]"}
{"id": "python/three_chain_target/58/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [95, -37, -45, 98, -26, 67, -32, 23, 45, -26]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -17.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-17", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[3,2,1,0,1,0,1,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,1,0,1,1,0,0,1,4,9]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-17}]"}
{"id": "python/three_chain_target/58/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -84}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -72.\nDefine task_2_bound_static = 46.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 21.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "25", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-48},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-71,-47,-120]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":25}]"}
{"id": "python/three_chain_target/58/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-26, -58, -46, 13, -56, 15, -58, -85, 46, -29]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -44.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -74.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-74", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-26,-58,-46,13,-56,15,-58,-85,46,-29]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-26,-46,-46,-22,-21,-21,-58,-58,-29,-29]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-74}]"}
{"id": "python/three_chain_target/58/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 53}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -53.\nDefine task_1_energy_static = [79, -17, -74, -75, 100, 58, -34, -94, -92, -21].\nDefine task_1_experience_static = [85, -96, 65, 56, -3, -18, 59, 26, 78, 88].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-64, 78, 22, -77, -35, -55, -83, -68, -8, -59].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -34.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-26", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":139},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-83,78,-77,-68,-64,-59,-55,-35,-8,22]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-26}]"}
{"id": "python/three_chain_target/58/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -16}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [27, -25, -77, -52, -77, 75, -16, 47, 16, 6].\nDefine task_1_runningCost_static = -92.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -17.\nDefine task_2_bound_static = 73.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -27.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-27", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":37},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-16,38,20]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-27}]"}
{"id": "python/three_chain_target/58/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 81}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [53, -75, -7, -8, 19, 100, 44, 88, 73, -31].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 99.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "109", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-75,-31,-8,-7,19,44,53,73,88,100]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[88,73,53,44,19,0,0,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":109}]"}
{"id": "python/three_chain_target/58/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-52, 47, 22, -4, -74, -4, -52, 65, -81, -24]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_1))\n    while i < n:\n        j = i + 1\n        while j < n and list_1[j - 1] - list_1[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 57.\nDefine task_2_bound_static = 66.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 48.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "49", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,58,11]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":49}]"}
{"id": "python/three_chain_target/58/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [2, 84, -53, -46, -58, 88, 43, 17, -54, -58]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [46, -22, -38, 12, 41, -74, -83, 17, 31, -32].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 38.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "43", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,45,60,-91,-34,-18,12,-41,32,-23,-90]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-91,-34,-18,-41,32]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":43}]"}
{"id": "python/three_chain_target/58/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [4, 49, -14, -23, 71, 71, -22, 74, 85, 90]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_1)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_1 = (dfs(list_1) - 1 + mod) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -25.\nDefine task_2_bound_static = 68.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 70.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "72", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":83},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-24]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":72}]"}
{"id": "python/three_chain_target/58/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 82}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [-40, 35, -14, 91, 75, -42, -42, -7, -53, 12].\nDefine task_1_runningCost_static = -76.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [45, 56, -11, 1, -17, 74, 93, -56, -90, -95].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -10.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":15},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[45,56,-17,-11,1,74,93,-56,-95,-90]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-10}]"}
{"id": "python/three_chain_target/58/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [66, -37, -95, 47, 49, 60, -47, 51, -55, 57]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [80, 63, 9, 69, -100, 53, 95, 8, -20, 27].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 15.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "25", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,143,24,-87,114,-52,110,45,57,-76,82]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-7,-5,-3,-1,1,3,5,7,9]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":25}]"}
{"id": "python/three_chain_target/58/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 58, "target_native_task_name": "findKthPositive:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [2, -43, 90, 94, -58, 90, -30, 74, -86, 67]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [53, -89, 53, 47, 19, 99, -91, -32, -5, -42].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_1), sum(nums2))\n    python_result_1 = max(s2 + f(list_1, nums2), s1 + f(nums2, list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -41.\nDefine task_2_bound_static = 23.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 42.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    if list_3[0] > k:\n        python_result_3 = k\n        return python_result_3\n    (left, right) = (0, len(list_3))\n    while left < right:\n        mid = left + right >> 1\n        if list_3[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = list_3[left - 1] + k - (list_3[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "44", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":286},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-40]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":44}]"}
{"id": "python/three_chain_target/59/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-20, -47, -45, -12, -21, -8, -55, 36, -86, -36]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_2[l] > list_2[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_2[j] > list_2[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_2[i] < list_2[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_2[j] > list_2[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_2 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-27, -50, -99, -43, -56, -52, 97, -44, 87, -50].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "14", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,1,1,2,1,2,1,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":14}]"}
{"id": "python/three_chain_target/59/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [82, -68, -7, 95, 92, -14, -78, 9, -23, 93]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_s_static = [-93, -91, 8, 89, -82, -31, -18, 90, 84, -9].\nTrace the execution of task_1 with inputs s = task_1_s_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], s: List[int]) -> int:\n    list_1.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_1):\n        while j < len(s) and s[j] < list_1[i]:\n            j += 1\n        if j >= len(s):\n            python_result_1 = i\n            return python_result_1\n        j += 1\n    python_result_1 = len(list_1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_plants_static = [-5, -21, -63, -96, 23, -84, -16, -43, 5, -22].\nDefine task_2_capacityB_static = -64.\nTrace the execution of task_2 with inputs plants = task_2_plants_static, capacityB = task_2_capacityB_static.\n```python\nfrom typing import List\ndef task_2(plants: List[int], val_2: int, capacityB: int) -> int:\n    (a, b) = (val_2, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_2\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [65, -85, -19, -68, -28, 95, -100, 33, -49, -56].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":4}]"}
{"id": "python/three_chain_target/59/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [32, -21, 97, 97, 30, -67, -67, -11, -8, 67]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_1):\n        if not stk or list_1[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_1) - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_customers_static = [-16, 60, 24, -86, 12, 46, -40, 46, 7, -41].\nDefine task_2_runningCost_static = -81.\nTrace the execution of task_2 with inputs customers = task_2_customers_static, runningCost = task_2_runningCost_static.\n```python\nfrom typing import List\ndef task_2(customers: List[int], val_2: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_2 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [76, -35, -56, -1, -55, -29, -95, -25, -91, 50].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "12", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":12},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":12}]"}
{"id": "python/three_chain_target/59/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 77}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -10.\nDefine task_1_bound_static = 70.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = -26.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    mx = max(list_2)\n    n = len(list_2)\n    ans = cnt = j = 0\n    for x in list_2:\n        while j < n and cnt < k:\n            cnt += list_2[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-88, -14, -79, 95, 76, 80, 6, -7, -75, 85].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-9]},{\"node_id\":\"task_2\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":9}]"}
{"id": "python/three_chain_target/59/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -93}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [75, -99, -81, 48, -99, -57, 53, -72, -70, 42].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (i, j) = (0, len(list_2) - 1)\n    (a, b) = (list_2[i], list_2[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_2[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_2[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_2[i], list_2[j])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-41, 83, -29, -7, -5, -8, 39, 0, -14, 40].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "18", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[75,-99,-81,48,-99,-57,53,-72,-70,42]},{\"node_id\":\"task_2\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":18}]"}
{"id": "python/three_chain_target/59/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-16, -61, -4, 1, -11, 80, -77, -12, -80, -67]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] > list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_1 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_1))) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [62, -4, 70, -35, 18, 89, 26, 42, 28, -13].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_2 = 1\n            return python_result_2\n        if x * y <= val_2:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-80, -86, 36, 81, 20, -65, -33, 58, 13, 91].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999996791},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":10}]"}
{"id": "python/three_chain_target/59/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-20, 49, 57, 21, 29, 95, 73, -53, -2, -49]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-16, 32, 37, 100, -85, -17, 56, 19, 72, 70].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    k = 3\n    n = len(list_2)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_2[i % n] == list_2[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-21, -99, -20, -15, 43, -20, 23, 77, 99, 53].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "16", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[70,72,19,56,-17,-85,100,37,32,-16,-20,49,57,21,29,95,73,-53,-2,-49]},{\"node_id\":\"task_2\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":16}]"}
{"id": "python/three_chain_target/59/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [59, -63, 94, -75, 66, -28, -25, 83, -58, -39]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_2)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_2 = (dfs(list_2) - 1 + mod) % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-51, 91, -98, 69, 66, 34, 22, 64, 72, 9].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "54", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-58,-28,94,66,-75,-63,-25,83,59,-39]},{\"node_id\":\"task_2\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":647},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":54}]"}
{"id": "python/three_chain_target/59/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 80}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-15, 35, 16, -9, 21, 40, 52, 43, -63, -75].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [-30, -68, 78, -54, -48, -56, 29, -86, 94, -84].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-3, 38, -3, 1, 35, -87, -33, 87, 55, 31].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "15", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":90},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":15}]"}
{"id": "python/three_chain_target/59/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-60, 52, -18, 27, -4, 92, 4, 10, 90, -32]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_2)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_2[i] - list_2[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-75, 78, -13, -83, -8, 7, -43, 57, 78, 62].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":11}]"}
{"id": "python/three_chain_target/59/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [42, -62, 81, -82, -79, -4, 28, -41, -99, -94]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [-11, -89, -94, -77, -11, 54, -69, -45, -19, 73].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_2), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_2[i]\n            i += 1\n        elif list_2[i] < nums2[j]:\n            f += list_2[i]\n            i += 1\n        elif list_2[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_2[i]\n            i += 1\n            j += 1\n    python_result_2 = max(f, g) % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-53, -34, 26, -1, 98, 84, -36, 50, -57, -64].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "12", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":12}]"}
{"id": "python/three_chain_target/59/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 19.\nDefine task_1_bound_static = 14.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = 17.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    (ans, y) = (1, list_2[0])\n    for x in list_2[1:]:\n        if x == 0:\n            python_result_2 = 1\n            return python_result_2\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-17, -38, 68, -31, 29, 21, 87, 76, 30, -95].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-75,-57]},{\"node_id\":\"task_2\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":4}]"}
{"id": "python/three_chain_target/59/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [95, -51, 40, -7, -91, -27, -36, 61, -19, 90]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_2[i]\n        while stk and list_2[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_2)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-39, -35, 92, -79, 60, -84, -11, 76, -79, 64].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "17", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[0,1,5,4,1,2,1,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":17}]"}
{"id": "python/three_chain_target/59/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -12}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-39, -75, -13, -96, 60, -46, -33, -44, -11, 93].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_2 == 1:\n        python_result_2 = ans % mod\n        return python_result_2\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_2 - 2) * s + mx_pre + mx_suf)\n    python_result_2 = ans % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-88, 71, 7, 58, 27, -4, -40, -76, 45, 16].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "103", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-12},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":93},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":103}]"}
{"id": "python/three_chain_target/59/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -19}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [1, -7, 46, 77, 77, 32, -30, 21, -84, 6].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_initialEnergy_static = 21.\nDefine task_2_initialExperience_static = -60.\nDefine task_2_experience_static = [44, -90, 24, 86, -51, 41, 59, -4, 70, -9].\nTrace the execution of task_2 with inputs initialEnergy = task_2_initialEnergy_static, initialExperience = task_2_initialExperience_static, experience = task_2_experience_static.\n```python\nfrom typing import List\ndef task_2(initialEnergy: int, initialExperience: int, list_2: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_2)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_2 = energy_hours + exp_hours\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-42, 74, -94, 61, 69, -43, 31, 49, -9, 53].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "98", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[1,-7,46,77,77,32,-30,21,-84,6]},{\"node_id\":\"task_2\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":288},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":98}]"}
{"id": "python/three_chain_target/59/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 59, "target_native_task_name": "findKthPositive:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -73}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [-48, -55, -2, -31, 31, 81, 17, 23, 84, -94].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_2:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_2 = 0\n            return python_result_2\n        y = val_2 % 10\n        if val_2 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_2 = (val_2 - y) // 10\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_arr_static = [-12, -95, 14, 12, -6, 36, -23, 97, 28, -9].\nTrace the execution of task_3 with inputs arr = task_3_arr_static.\n```python\nfrom typing import List\ndef task_3(arr: List[int], val_3: int) -> int:\n    if arr[0] > val_3:\n        python_result_3 = val_3\n        return python_result_3\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_3:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_3 = arr[left - 1] + val_3 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":11}]"}
{"id": "python/three_chain_target/60/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-31, 12, -93, 59, -80, -72, 45, 17, 6, 13]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-31,-31,-31,-31,-72,-72,17,17,13,13]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[6,6,6,6,2,2,10,10,2,2]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/60/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [14, -56, -41, 95, 57, -25, 100, -84, 91, 33].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[14,-56,-41,95,57,-25,100,-84,91,33]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[70,112,209,155,3,29,4,80,73,51]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/60/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 29}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-92, 0, 3, -60, -44, 13, -93, 17, 15, -55].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-93,0,3,-60,-55,13,-92,15,17,-44]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,9,3600,3025,169,8464,225,289,1936,8649]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/60/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-77, -100, -13, 88, -5, -23, 35, -11, -10, -31]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-53, -25, 29, -88, -50, 80, -24, 18, -34, -20].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "13", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-20,-34,18,-24,80,-50,-88,29,-25,-53,-77,0,-13,88,-5,-23,35,-11,-10,-31]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,2,1,0,2,1,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":13}]"}
{"id": "python/three_chain_target/60/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-80, 82, -20, 48, 7, 17, -60, -77, 23, -14]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-43, 22, -89, 63, -99, -17, 3, 78, 82, -78].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-124,102,-110,109,-92,0,-57,0,103,-92]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,3,1,10,1,4,1,4,6,1]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":-7}]"}
{"id": "python/three_chain_target/60/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -32}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-14, -22, 45, -84, -44, 65, 86, -10, 65, -1].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -31.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-14,-22,45,-84,-44,65,86,-10,65,-1]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-14,-22,45,-84,-44,65,86,-10,65,-1]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/60/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [21, 2, -56, 98, 49, -92, 6, 36, -67, 88]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -81.\nDefine task_2_bound_static = 97.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "15", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-80,4,-78,10,-72,28,-54,82,0]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":15}]"}
{"id": "python/three_chain_target/60/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-65, -63, -38, 97, 67, -77, 59, 54, -92, 7]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-39, -59, -81, 7, 54, -84, 32, 93, -70, 72].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "26", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-65,-63,-38,97,7]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-39,-59,-82,4,52,-149,-32,52,24,77]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":26}]"}
{"id": "python/three_chain_target/60/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -39}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [32, 55, 59, 49, -65, -93, -47, -57, 71, 59].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-13, 47, -22, -35, -98, 45, 23, -30, 27, 50].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "16", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-13,45,-22,-35,-98,47,23,-30,27,50]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":16}]"}
{"id": "python/three_chain_target/60/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [30, -53, -30, -38, 73, -42, -31, -16, -68, 11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = -98.\nDefine task_1_capacityB_static = -92.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [52, 84, -94, -61, 91, -97, 87, -85, 8, 54].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[52,84,-97,-61,87,-94,91,-85,8,54]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/60/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-85, 49, -83, 94, -25, -69, -87, 24, 96, 97]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[96,132,166,155,86,180,336,399,279,86]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[4,1,2,1,2,2,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/60/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-100, -61, 65, 34, -99, -92, 64, 34, -75, 31]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_power_static = 44.\nTrace the execution of task_1 with inputs power = task_1_power_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], power: int) -> int:\n    list_1.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        if power >= list_1[i]:\n            power -= list_1[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_1[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [100, 76, -71, -84, 100, 68, -42, -52, -84, 70].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[100,68,-71,-84,100,70,-52,-42,-84,76]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/60/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-95, -2, -74, -14, -36, -28, -41, 81, 60, -51]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [51, -77, -5, -96, 74, -81, 31, -99, 69, -35].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-35,69,-99,31,-81,74,-96,-5,-77,51,-95,-2,-74,-14,-36,-28,-41,81,60,-51]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[133,167,137,69,19,12,10,111,193,219]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/60/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-10, -69, -33, 29, 38, 72, 15, -58, 93, 75].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [21, 3, -89, -97, 80, 13, 90, -55, 89, -5].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "12", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[21,3,-89,-97,80,13,89,-55,90,-5]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":12}]"}
{"id": "python/three_chain_target/60/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -91}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [39, -34, 93, 27, -13, -98, 73, -83, 76, -42].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[39,-34,93,27,-13,-98,73,-83,76,-42]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,3,2,2,1,2,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/60/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 60, "target_native_task_name": "countQuadruplets:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -3}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-16, 74, -93, -76, 55, 94, 41, 70, 38, 99].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_3[j] > list_3[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_3[i] < list_3[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_3[j] > list_3[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_3 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-16,74,-93,-76,55,94,41,70,38,99]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[99,55,41,41,38,38,0,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/61/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -87}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [-89, 3, -42, 23, 38, -100, 27, 4, 38, -10].\nDefine task_1_runningCost_static = 82.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [1, 2, 91, -15, -9, 18, 52, 96, 99, -85].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999999369", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[1,2,91,-15,-9,18,52,96,99,-85]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999999369}]"}
{"id": "python/three_chain_target/61/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-55, 92, 3, -45, -28, 58, 91, -32, -73, -41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_1 = sum((f(x) for x in list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -4.\nDefine task_2_bound_static = 82.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999997524", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":202},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-3,17,-63,3,-2,18,-62,5,0,20,-60,9,4,24,-56,17,12,32,-48,33,28,48,-32,65,60,80,0]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997524}]"}
{"id": "python/three_chain_target/61/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 66}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [-92, 9, 11, 77, -37, 67, -25, -54, 74, 52].\nDefine task_1_passengers_static = [-12, -40, -1, -59, -81, -56, -26, 0, -59, 4].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-100, 73, -76, -53, 20, 99, -94, -100, -19, -29].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999996985", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":77},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-100,-100,-94,-76,-53,-29,-19,20,73,99]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999996985}]"}
{"id": "python/three_chain_target/61/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [28, 47, 5, 99, 56, 30, 38, -39, -83, -60]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_1)\n    list_1.sort()\n    idx = {v: i for (i, v) in enumerate(list_1)}\n    f = [1] * n\n    for (i, a) in enumerate(list_1):\n        for j in range(i):\n            b = list_1[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_1 = sum(f) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 83.\nDefine task_2_bound_static = 68.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "15", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,11]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":15}]"}
{"id": "python/three_chain_target/61/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [3, -13, -43, 8, -77, -4, 63, 99, -11, -66]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [73, 5, -74, -49, -7, 74, -97, 95, 96, -38].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999999852", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,74,-8,-117,-41,-85,68,-35,191,83,-104]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-7,-5,-3,-1,1,3,5,7,9]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999999852}]"}
{"id": "python/three_chain_target/61/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-15, 46, -71, 24, -51, 87, -65, -79, -10, 88].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -68.\nDefine task_2_bound_static = 8.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999999875", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":24},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-67]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999999875}]"}
{"id": "python/three_chain_target/61/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -47}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 77.\nDefine task_1_bound_static = 99.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [14, -58, -27, 92, 27, -80, 68, 41, 83, 74].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999997306", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,78,-46,30]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,12,-58,-28,89,25,-81,67,116,34,102]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997306}]"}
{"id": "python/three_chain_target/61/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -50}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -15.\nDefine task_1_bound_static = 96.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999999574", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-14,-49,-65]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[2,-14,-49,-65]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999999574}]"}
{"id": "python/three_chain_target/61/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -72}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-1, 13, -36, -2, 100, 81, 90, 97, -62, 18].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "109", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-1,13,-36,-2,100,81,90,97,-62,18]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,5,1,2,3,6,7,10,1,2]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":109}]"}
{"id": "python/three_chain_target/61/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-20, 97, 54, -39, -58, 24, 53, 20, -74, 84]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    list_1.sort()\n    n = len(list_1)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[i] % list_1[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_1[k] % list_1[i] == 0 and f[i] == m:\n            ans.append(list_1[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [82, -48, 11, -45, -49, -83, 27, 43, -84, -57].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999997153", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[20,-20]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,80,-49,9,-45,-49,-84,24,41,-64,-77]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997153}]"}
{"id": "python/three_chain_target/61/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-43, -21, 90, -35, 13, 78, -32, 27, 11, 13]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -4.\nDefine task_2_bound_static = 7.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999998496", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-185},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-3,-84,-89,-69,-149]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999998496}]"}
{"id": "python/three_chain_target/61/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-13, -36, 41, -11, -27, -85, -59, -58, -100, -77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_1, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_1[i]:\n            right[i] = right[i + 1] + 1\n    python_result_1 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 26.\nDefine task_2_bound_static = 31.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "53", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,27,10]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":53}]"}
{"id": "python/three_chain_target/61/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [10, -4, 84, 35, -87, -97, 62, -24, -57, 41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-87,-97,62,41]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/61/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -30}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 15.\nDefine task_1_bound_static = 77.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "20", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,16,-29,-15]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[16,2,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":20}]"}
{"id": "python/three_chain_target/61/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [37, 56, 32, 50, 73, 72, 97, -97, 23, -23]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_1[j] > list_1[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-86, 86, 20, 86, -77, -4, -6, 44, 65, 25].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999997733", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,86,20,86,-77,-6,-4,44,65,25]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997733}]"}
{"id": "python/three_chain_target/61/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 61, "target_native_task_name": "sumSubarrayMins:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 4}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -99.\nDefine task_1_bound_static = 17.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -68.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_3):\n        while stk and list_3[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] > list_3[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "999998315", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-98,5,-95,17,-83]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,-98,5,-95,17,-83]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999998315}]"}
{"id": "python/three_chain_target/62/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-6, -98, 62, 43, 21, 79, 17, 65, -97, 68].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [50, -42, 26, -60, -32, 59, -57, 43, -54, -52].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":178},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-60,-57,-54,-52,-42,-32,26,43,50,59]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/62/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [36, -80, -20, 71, 27, 99, 82, -72, 23, 24]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [48, -16, -90, 81, -39, 93, 33, 27, 60, -48].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[48,-16,-90,81,-39,93,33,27,60,-48]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/62/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 92}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-80, -2, 36, -27, 34, -45, -92, 7, -17, -70].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "12", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":89},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-92,-80,-70,-45,-27,-17,-2,7,34,36]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":12}]"}
{"id": "python/three_chain_target/62/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [54, -18, 87, -38, 42, -97, 89, -43, 22, -14]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 0\n    for k in range(1, n + 1):\n        t = 0\n        j = 1\n        while k * j * j <= n:\n            t += list_1[k * j * j - 1]\n            j += 1\n        ans = max(ans, t)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [39, 62, -66, 19, -22, -10, -81, -57, 49, 98].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":89},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,-66,-57,-22,-10,19,39,49,62,98]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/62/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [89, -5, -17, 92, -16, -24, -13, 43, -9, -40]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (l, r) = (0, len(list_1) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_1[l], list_1[r]) * (r - l)\n        ans = max(ans, t)\n        if list_1[l] < list_1[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -10.\nDefine task_2_bound_static = 87.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":301},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-9]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/62/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [83, 62, 45, 15, -83, 7, -19, 19, 44, 41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_initialEnergy_static = -17.\nDefine task_1_initialExperience_static = 22.\nDefine task_1_experience_static = [-80, -60, -73, 13, 45, -59, -4, -77, -29, -25].\nTrace the execution of task_1 with inputs initialEnergy = task_1_initialEnergy_static, initialExperience = task_1_initialExperience_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(initialEnergy: int, initialExperience: int, list_1: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_1)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-70, 88, -59, -49, 15, -91, 74, 15, -39, -33].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":510},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-70,88,-59,-49,15,-91,74,15,-39,-33]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/62/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 33}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-57, 2, -32, 62, -70, 67, -82, 97, -24, -41].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,-70,-57,62,-41,67,-32,97,-24,2]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-70,-57,62,67,67,97,97,-1,2,62]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/62/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [22, 15, -82, -77, -34, -57, 79, 48, 35, -46]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [75, 94, -11, -5, -97, -62, 43, -40, -81, 86].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "139", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,72,102,-3,1,-90,-57,46,-36,-79,86]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":139}]"}
{"id": "python/three_chain_target/62/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 39}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [65, -94, 27, -86, 22, 79, 36, 73, 26, -36].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -42.\nDefine task_2_bound_static = 52.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":15},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-41,16,-27]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/62/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -69}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-98, 34, 98, -14, -62, -49, 49, -56, 19, 70].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-61, 76, 51, 44, -57, 12, -64, 78, 21, -38].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-64,76,44,51,-61,12,-57,78,21,-38]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/62/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-7, -31, 35, -83, 89, 34, 42, 3, 93, -17]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 59.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_1:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-67, 23, 97, 49, -34, 54, -18, 97, 36, 27].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":9425},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-67,23,97,27,-34,36,-18,97,49,54]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/62/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [64, 80, 58, -1, 67, 87, -50, 29, -87, 47]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":19}]"}
{"id": "python/three_chain_target/62/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-46, -80, -15, -4, 94, 12, 34, -33, -55, -24]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -98.\nDefine task_2_bound_static = 85.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-97,6,-93,26,-73]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/62/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-20, -56, 86, -48, 11, -87, 20, -42, 39, -86]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [87, -12, 84, 70, 35, -66, 36, 69, 1, 43].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_1), sum(nums2))\n    python_result_1 = max(s2 + f(list_1, nums2), s1 + f(nums2, list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -14.\nDefine task_2_bound_static = 25.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":385},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-13]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/62/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [42, 29, -8, 37, 16, -69, 54, 48, 39, 59]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [42, -7, 55, -39, -71, -25, 58, -93, -27, -21].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "47987", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,81,19,45,-2,-55,-95,110,-46,9,36]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,2,10,1,7,3,2,1,5,1]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":47987}]"}
{"id": "python/three_chain_target/62/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 62, "target_native_task_name": "numFactoredBinaryTrees:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [57, 32, -14, -92, -13, -42, -83, -81, 76, -72]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [69, 59, -36, 45, 23, -90, -65, 37, -31, 80].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_3)\n    list_3.sort()\n    idx = {v: i for (i, v) in enumerate(list_3)}\n    f = [1] * n\n    for (i, a) in enumerate(list_3):\n        for j in range(i):\n            b = list_3[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_3 = sum(f) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "578", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,123,89,-50,-48,8,-132,-148,-45,42,6]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[23,23,89,-1,-48,8,23,1,-45,1]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":578}]"}
{"id": "python/three_chain_target/63/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-45, 49, -87, 11, 12, -65, 82, -9, -51, -96]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -54.\nDefine task_2_bound_static = 51.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-53,5,-50,17,-38]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/63/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 55.\nDefine task_2_bound_static = 93.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":13},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,56,14,68]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/63/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [74, 70, -61, -51, -97, 94, -57, 69, 10, -42]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[100,1764,4761,3249,8836,9409,2601,3721,4900,5476]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[0,64,76,0,36,9,1,21,49,61]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/63/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-51, 47, 41, -50, 79, -23, -17, 90, -76, 51]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 35.\nDefine task_2_bound_static = 62.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,36,4,38,10,44,28,62]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/63/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-100, 44, 95, -74, 40, -42, 38, -65, -16, 76]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [47, -23, 11, -3, 91, -2, -73, -21, -52, -29].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-29,-52,-21,-73,-2,91,-3,11,-23,47,0,44,95,-74,40,-42,38,-65,-16,76]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-29,-52,-21,-73,-2,91,47]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/63/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [23, 100, -67, -92, 5, 24, 86, -37, -85, -45]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 19.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[5,3,2,1,1,1,0,0,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[0,0,0,1,1,1,1,2,3,5]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/63/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [46, 89, 2, 62, -29, 70, -32, 38, 80, -7]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,3844,841,4900,1024,1444,6400,49,7921,2116]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,7,3,1,2,7,1,10,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/63/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -92}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 72.\nDefine task_1_bound_static = 67.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-91,-20]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,-20,-91]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/63/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [69, -10, 40, 28, -21, 16, 6, 82, 6, 79]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_1):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_1[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [41, -41, 10, 97, -24, 40, -78, 22, -43, 9].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":316},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[40,-43,9,97,-24,41,-78,10,-41,22]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/63/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-55, -73, -31, 0, -53, -23, -93, 70, 1, -33]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_1 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 61.\nDefine task_2_bound_static = 62.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":18},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,62,19]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/63/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [18, -5, -40, 5, 61, 63, -4, -80, 18, -53]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-40,-80,-53]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[133,13,120]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/63/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [63, 85, -43, -45, -83, -61, 30, 26, 83, -14]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_1:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-83, 65, 46, -50, -30, 16, 43, 89, -97, 54].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-83,65,43,-50,-30,16,46,89,-97,54]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/63/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [73, 92, -81, -87, 22, -45, -79, -35, -47, 0]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,2209,1225,6241,2025,484,7569,6561,8464,5329]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[0,9,25,33,33,69,69,63,62,29]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/63/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -18}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -88.\nDefine task_1_bound_static = 55.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-87,-17,-106]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/63/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-82, 35, -35, 74, -44, 4, 83, -74, 19, -53]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] > list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_1 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_1))) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [6, -29, -14, 81, 80, 92, 77, 2, 98, -73].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997078},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-73,-29,-14,2,6,77,80,81,92,98]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/63/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 63, "target_native_task_name": "numberOfAlternatingGroups:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-10, -28, -88, -17, -58, -1, 15, -49, 69, -90]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    k = 3\n    n = len(list_3)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_3[i % n] == list_3[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[5,2,1,2,1,1,2,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[10,3,0,3,6,8,11,14,15,15]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/64/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -85}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [-57, -49, 45, -33, -29, -50, -25, -59, 30, -73].\nDefine task_1_runningCost_static = -20.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-54, -41, 29, -57, -79, -37, 81, -83, 71, 99].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -80.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-57,-41,29,-54,-83,-37,71,-79,81,99]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"}
{"id": "python/three_chain_target/64/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-93, 73, 6, -11, -66, -80, 6, 0, -56, 93]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -75.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[35,15,94,89,12,134,208,202,258,221]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[35,15,94,89,12,34,8,2,58,21]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"}
{"id": "python/three_chain_target/64/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -50}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [15, -14, -85, 79, -95, -96, 38, 92, 4, -61].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -18.\nDefine task_2_bound_static = 66.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -75.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":92},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-17]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/64/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-21, 44, 59, 71, 49, 17, 28, 71, -56, 88]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -36.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,3,9,3,1,2,9,1,10]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-4,-3,-2,-1,0,0,1,2,3,5]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"}
{"id": "python/three_chain_target/64/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-57, -65, -92, 80, 75, -76, -12, -5, -57, -63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_1[j] > list_1[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -78.\nDefine task_2_bound_static = 17.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -20.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "20", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-77,7,-72]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":20}]"}
{"id": "python/three_chain_target/64/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 68}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -71.\nDefine task_1_bound_static = 91.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -37.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "20", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-70,69,-3]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":20}]"}
{"id": "python/three_chain_target/64/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [45, -54, -50, 15, -33, -87, 44, -84, 82, 34]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    k = 3\n    n = len(list_1)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_1[i % n] == list_1[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -59.\nDefine task_2_bound_static = 79.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -69.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "20", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-58,11,-49]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":20}]"}
{"id": "python/three_chain_target/64/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -85}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-26, 61, -67, -51, -4, -28, 16, 10, 46, 47].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -93.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-26,61,-67,-51,-4,-28,16,10,46,47]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-26,46,10,16,-4,-28,-51,-67,61,47]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"}
{"id": "python/three_chain_target/64/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [59, 2, 86, -74, -41, 19, 68, -52, 12, -49]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -76.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -82.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[59,2,86,-74,-41,19,68,-52,12,-49]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,0,1,1,1,0,1,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"}
{"id": "python/three_chain_target/64/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-85, -73, -99, -11, 58, -18, 37, 39, 65, -33]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -23.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,3,1,4,8,1,2,3,10,1]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[1,2,2,4,4,2,2,3,3,1]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"}
{"id": "python/three_chain_target/64/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [59, -50, -66, 30, -81, 34, 28, 34, -29, -41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (l, r) = (0, len(list_1) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_1[l], list_1[r]) * (r - l)\n        ans = max(ans, t)\n        if list_1[l] < list_1[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-64, 21, 15, 3, 2, 11, 44, 6, -25, -95].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -1.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":238},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-25,2,3,6,11,15,21,44,-64]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"}
{"id": "python/three_chain_target/64/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [44, 58, 42, -59, 35, 35, 6, 79, -31, 96]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-29, 52, -85, -15, 59, -68, 5, -44, -67, -73].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -44.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-59,35,35,6,79,96]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-73,-67,-44,5,-68,59,-15,-85,52,-29,-59,35,35,6,79,96]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"}
{"id": "python/three_chain_target/64/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 50}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-91, -96, -50, -2, 38, -76, -19, 69, 95, -49].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-54, -51, -32, 95, -17, -78, -73, -62, 39, 94].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -86.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":102},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-54,-51,-32,94,-17,-78,-73,-62,39,95]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"}
{"id": "python/three_chain_target/64/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 52}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 38.\nDefine task_1_energy_static = [4, 63, -58, 9, -81, 3, -71, 60, 83, -90].\nDefine task_1_experience_static = [44, 64, -11, -52, 8, -48, 99, 7, 86, 51].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -66.\nDefine task_2_bound_static = 36.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -43.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":57},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-65]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/64/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-54, 55, 79, -49, -39, -73, -71, -30, 74, 63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_1)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_1[0]\n    for (i, v) in enumerate(list_1):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [21, 3, -71, 20, 69, -94, 88, 15, -28, 88].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -44.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":5673},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-71,-28,3,15,20,21,69,88,88]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"}
{"id": "python/three_chain_target/64/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 64, "target_native_task_name": "countSubarrays:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -22}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-18, -88, 87, 40, -20, -80, 51, -21, 60, -39].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-90, -16, 45, 53, -14, -32, -83, -68, 2, -93].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -35.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    mx = max(list_3)\n    n = len(list_3)\n    ans = cnt = j = 0\n    for x in list_3:\n        while j < n and cnt < k:\n            cnt += list_3[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":50},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-93,-90,-83,-68,-32,-16,-14,2,45,53]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -8}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [63, 67, -56, -54, 90, -60, 73, -80, -13, -72].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-72, -11, -89, 68, -89, -53, -36, -76, 46, -23].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-8},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-8},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -17}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 70.\nDefine task_1_bound_static = 14.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = -18.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    if list_2[0] > k:\n        python_result_2 = k\n        return python_result_2\n    (left, right) = (0, len(list_2))\n    while left < right:\n        mid = left + right >> 1\n        if list_2[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = list_2[left - 1] + k - (list_2[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [90, 75, -15, -46, 46, -58, 32, 59, 62, -46].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-16]},{\"node_id\":\"task_2\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-18},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-62, 70, 96, -26, 68, -3, -97, 36, 41, -56]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_1 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_buses_static = [100, -42, -59, -82, -2, -13, 80, 18, -24, 54].\nDefine task_2_passengers_static = [-87, -44, -34, -80, 97, -4, 95, -72, 29, -18].\nTrace the execution of task_2 with inputs buses = task_2_buses_static, passengers = task_2_passengers_static.\n```python\nfrom typing import List\ndef task_2(buses: List[int], passengers: List[int], val_2: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_2\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-55, -35, -22, 11, -5, 79, 62, 53, -93, 80].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":19},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":100},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -15}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_2:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_2 = 0\n            return python_result_2\n        y = val_2 % 10\n        if val_2 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_2 = (val_2 - y) // 10\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-1, -38, 92, 78, -76, -52, 56, 23, 37, -45].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-51},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-15},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [83, 69, -57, 34, 56, 44, -59, 24, -74, -31]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (left, right) = (0, len(list_2) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_2[mid] > list_2[right]:\n            left = mid + 1\n        elif list_2[mid] < list_2[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_2 = list_2[left]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [17, 61, -79, -67, -3, -28, -77, -30, -66, 56].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,83,34,56,83,83,24,83,-31,83]},{\"node_id\":\"task_2\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-31},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -41}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 93.\nDefine task_1_bound_static = 4.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    if list_2[0] <= list_2[-1]:\n        python_result_2 = list_2[0]\n        return python_result_2\n    (left, right) = (0, len(list_2) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_2[0] <= list_2[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_2 = list_2[left]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [39, 54, 76, 84, -10, 72, 94, 86, 64, -93].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-40]},{\"node_id\":\"task_2\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-40},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [21, -55, -45, 66, -83, -90, -99, 4, -29, -70]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [26, -74, -26, -68, -71, 9, -99, 47, 53, -1].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_2), sum(nums2))\n    python_result_2 = max(s2 + f(list_2, nums2), s1 + f(nums2, list_2))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [35, -76, 38, 61, 66, -44, 96, -31, -26, -100].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[21,-45,-45,-45,-83,-90,-90,-29,-29,-70]},{\"node_id\":\"task_2\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":-171},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -87}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [42, -8, 98, -54, -39, 36, 38, 70, 85, 19].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (left, right) = (0, len(list_2) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_2[mid] > list_2[right]:\n            left = mid + 1\n        elif list_2[mid] < list_2[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_2 = list_2[left]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-62, -80, 68, -99, -96, -32, -54, 98, -18, -73].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[42,-8,98,-54,-39,36,38,70,85,19]},{\"node_id\":\"task_2\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-54},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [28, -39, 16, -95, 35, -80, 9, 34, -90, 42]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-81, -52, 29, 21, -96, 84, 74, 29, -24, 80].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (left, right) = (0, len(list_2) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_2[mid] > list_2[right]:\n            left = mid + 1\n        elif list_2[mid] < list_2[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_2 = list_2[left]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-48, 37, -20, 36, -84, -22, 14, 90, 82, -67].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[80,-24,29,74,84,-96,21,-52,-81,28,-39,16,-95,35,-80,9,34,-90,42]},{\"node_id\":\"task_2\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-52},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [2, -82, 13, -89, -22, 14, -88, 57, -42, -94]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    if list_1[0] <= list_1[-1]:\n        python_result_1 = list_1[0]\n        return python_result_1\n    (left, right) = (0, len(list_1) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_1[0] <= list_1[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_1 = list_1[left]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    s = list(str(val_2))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_2 = int(''.join(s))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-67, -10, -17, -53, 3, -81, -12, -35, 82, 82].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-89},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-89},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 51}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-52, 60, -50, 56, -13, -87, -8, 71, -63, 21].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    if list_2[0] <= list_2[-1]:\n        python_result_2 = list_2[0]\n        return python_result_2\n    (left, right) = (0, len(list_2) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_2[0] <= list_2[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_2 = list_2[left]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-100, 52, -20, 82, 52, -98, 96, -12, 25, 68].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-63,-52,-50,-13,-8,21,56,60,71]},{\"node_id\":\"task_2\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-87},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [10, 62, 84, 23, 86, 39, -67, -34, -7, 66]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [3, -44, -44, -87, 100, 75, -24, -62, -60, 12].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_2), sum(nums2))\n    if s1 == s2:\n        python_result_2 = 0\n        return python_result_2\n    if s1 > s2:\n        python_result_2 = task_2(nums2, list_2)\n        return python_result_2\n    arr = [6 - v for v in list_2] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_2 = i\n            return python_result_2\n    python_result_2 = -1\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-90, 52, 95, 72, 95, -93, 47, 77, -32, 50].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "18", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":18}]"}
{"id": "python/three_chain_target/65/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [37, -38, -28, -86, -55, -1, 97, 58, -98, 13]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_2[i]\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_2):\n        if i and x >= list_2[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_2[i] >= list_2[i + 1]:\n            g[i] = g[i + 1] + list_2[i]\n        else:\n            j = right[i]\n            g[i] = list_2[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_2 = max((a + b - c for (a, b, c) in zip(f, g, list_2)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-16, -25, 52, 45, 92, 79, -5, -3, -5, -52].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[37,-33,-33,-55,-55,-1,58,58,13,13]},{\"node_id\":\"task_2\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-134},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-83, 44, -13, 42, 98, -57, 48, -61, 79, -54]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 62.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = -92.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    if list_2[0] > k:\n        python_result_2 = k\n        return python_result_2\n    (left, right) = (0, len(list_2))\n    while left < right:\n        mid = left + right >> 1\n        if list_2[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = list_2[left - 1] + k - (list_2[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [92, 3, -81, -68, 89, 83, 10, 48, 27, -44].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-83,-61,-57,-54,-13,42,44,48,79,98]},{\"node_id\":\"task_2\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-92},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/65/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 59}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -70.\nDefine task_1_bound_static = 7.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_2[j] < list_2[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_2[j] > list_2[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [61, 85, 5, 99, 91, -27, -25, -50, 99, -11].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-69]},{\"node_id\":\"task_2\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/65/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 65, "target_native_task_name": "countSubarrays:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-17, 73, -54, 44, -69, 52, -35, 77, 74, -68]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [54, -13, 22, -35, -54, -76, 64, -97, -81, 6].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_2[i]\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_2):\n        if i and x >= list_2[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_2[i] >= list_2[i + 1]:\n            g[i] = g[i + 1] + list_2[i]\n        else:\n            j = right[i]\n            g[i] = list_2[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_2 = max((a + b - c for (a, b, c) in zip(f, g, list_2)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [22, -9, 6, -55, 85, 62, 91, -18, 28, -61].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_3:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_3:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,34,58,-33,7,-123,-25,27,-20,-7,-62]},{\"node_id\":\"task_2\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-104},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"}
{"id": "python/three_chain_target/66/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 67}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 84.\nDefine task_1_energy_static = [38, 45, 35, 76, 94, -14, 68, 2, 79, -55].\nDefine task_1_experience_static = [2, -55, -11, -7, -24, 76, 31, -64, -1, 53].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [73, -27, 61, -78, 72, 33, 37, -73, -12, -43].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":390},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-78,-73,-43,-27,-12,33,37,61,72,73]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/66/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-98, 90, -64, 38, -56, -18, 20, 73, -78, 60]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    s = set()\n    for n in list_1:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_1 = len(s)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 70.\nDefine task_2_bound_static = 34.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,6,26]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/66/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-62, -30, 8, -31, 37, 58, -40, -10, -56, 16]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 62.\nDefine task_2_bound_static = 49.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,5,17]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/66/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 45}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 12.\nDefine task_1_bound_static = 71.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,13,46,57]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-2,0,2,4]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/66/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [67, 68, -85, -7, 97, -89, -39, -38, 70, -77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-70, -36, -82, 76, 36, 33, -24, 89, 57, 5].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[68,97,-7,97,-1,-39,-38,70,97,67]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-3,59,-90,170,33,-6,-63,156,151,70]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/66/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 76}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [51, 30, -48, -62, -38, -32, 57, -58, -94, -68].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 96.\nDefine task_2_bound_static = 17.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,7]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/66/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -85}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-32, -91, -98, -87, -17, -86, -12, 43, 65, 96].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-32,-91,-98,-87,-17,-86,-12,43,65,96]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-17,-87,-87,-17,-12,-12,43,65,96,-1]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/66/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-37, 94, 53, -33, 49, 97, -46, -39, -6, 30]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[44,25,8,7,20,31,40,47,52]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/66/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-45, -97, 43, 29, 95, 42, 11, -13, 42, -82]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_power_static = 33.\nTrace the execution of task_1 with inputs power = task_1_power_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], power: int) -> int:\n    list_1.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        if power >= list_1[i]:\n            power -= list_1[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_1[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 7.\nDefine task_2_bound_static = 79.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8,50,11,17,59]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/66/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 91}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [-70, 40, 30, 71, -19, -9, -91, 97, -17, -48].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 27.\nDefine task_2_bound_static = 97.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,28,8,34,50,76]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/66/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-12, -63, -8, -15, -77, -71, -17, -78, 98, -33]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] > list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_1 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_1))) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-75, -49, -50, -46, 14, -20, 37, 42, 18, -24].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999996425},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-75,-50,-49,-46,14,-24,18,37,42,-20]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/66/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [90, -77, -18, -57, 37, -89, 19, 76, -13, 65]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_1[j] * (j - i)\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [60, 76, 24, -86, -37, -68, -92, 40, 59, 52].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":662},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-92,-86,-68,-37,24,40,52,59,60,76]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/66/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -82}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -84.\nDefine task_1_bound_static = 95.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-83,-81,-166]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[0,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/66/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [73, 14, 97, 11, 5, 81, -3, 37, 87, 66]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -72.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    mx = list_1[0]\n    cnt = 0\n    for x in list_1[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [4, 96, 79, -63, 39, 88, 16, -51, -41, 67].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":97},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-63,-51,-41,4,16,39,67,79,88,96]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/66/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 91}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-65, -69, 14, -49, -80, -42, -2, -59, 50, -70].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":19},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-80,-70,-2,-69,-65,-59,14,-49,50,-42]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/66/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 66, "target_native_task_name": "maxChunksToSorted:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-16, -83, -77, -1, -49, -96, -56, 26, 16, 17]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    stk = []\n    for v in list_3:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_3 = len(stk)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-16,16,26,-56,-96,-49,-1,-77,-83,17]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[303,303,345,315,163,18,32,110,270,336]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/67/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -64.\nDefine task_2_bound_static = 26.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-217", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-29},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-63,-28,-93]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-217}]"}
{"id": "python/three_chain_target/67/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [27, 53, 5, 1, 1, -31, -29, -35, 38, 2]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "51", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,3,1,3,1,2,1,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,2]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":51}]"}
{"id": "python/three_chain_target/67/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-98, 6, 91, -79, 38, -69, -26, 84, -79, -14]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_1[j] > list_1[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 43.\nDefine task_2_bound_static = 100.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "136", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,44,9,51,65]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":136}]"}
{"id": "python/three_chain_target/67/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [46, 9, 31, 27, 88, 13, 10, -22, 58, 86]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "268", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[46,9,31,27,88,58,86]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[81,961,729,2116,7744,3364,7396]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":268}]"}
{"id": "python/three_chain_target/67/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 19}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 6.\nDefine task_1_bound_static = 22.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "29", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,7,20]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[2,7,20]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":29}]"}
{"id": "python/three_chain_target/67/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -20}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-11, 39, 17, 91, -79, 81, -10, -68, -42, -61].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-33, -50, -40, 49, 3, 70, -14, 14, 63, -13].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-120", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-20},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-33,-50,-40,49,3,70,-14,14,63,-13]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-120}]"}
{"id": "python/three_chain_target/67/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -33}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-5, 48, 45, 8, 10, 57, -72, -33, -73, -9].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-28, -83, -1, 20, 55, -88, 78, -7, -40, -98].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-568", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-28,-98,-7,20,55,-88,78,-1,-40,-83]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-568}]"}
{"id": "python/three_chain_target/67/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [82, 13, -33, 80, 71, -98, -68, 32, -68, -88]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_1[i]\n        while stk and list_1[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-58, -71, -100, -92, 99, 96, 97, -85, 48, 18].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-222", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":142},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-100,-92,-85,-71,96,97,99,-58,18,48]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-222}]"}
{"id": "python/three_chain_target/67/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [37, 35, 69, 98, 60, -46, 84, -50, 100, 3]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_initialEnergy_static = -6.\nDefine task_1_initialExperience_static = 68.\nDefine task_1_experience_static = [60, -82, 82, -74, -6, 25, 28, 17, -72, 12].\nTrace the execution of task_1 with inputs initialEnergy = task_1_initialEnergy_static, initialExperience = task_1_initialExperience_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(initialEnergy: int, initialExperience: int, list_1: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_1)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-40, -59, -72, -67, 14, 36, -32, 15, 77, 6].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-206", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":334},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-72,-67,-59,-40,6,14,-32,15,77,36]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-206}]"}
{"id": "python/three_chain_target/67/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [52, -80, 62, 65, 17, -15, 5, -10, -84, -94]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [-48, -3, -50, 93, 89, -91, 76, 17, -18, 67].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    (m, n) = (len(list_1), len(nums2))\n    i = j = 0\n    f = g = 0\n    while i < m or j < n:\n        if i == m:\n            g += nums2[j]\n            j += 1\n        elif j == n:\n            f += list_1[i]\n            i += 1\n        elif list_1[i] < nums2[j]:\n            f += list_1[i]\n            i += 1\n        elif list_1[i] > nums2[j]:\n            g += nums2[j]\n            j += 1\n        else:\n            f = g = max(f, g) + list_1[i]\n            i += 1\n            j += 1\n    python_result_1 = max(f, g) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [58, -70, -94, 44, 50, 64, -52, -66, 99, -6].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-350", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":132},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[44,-94,-70,50,58,64,-66,-52,99,-6]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-350}]"}
{"id": "python/three_chain_target/67/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -98.\nDefine task_1_bound_static = 17.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-193", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-97,-98,-197]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,2,-97,2]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-193}]"}
{"id": "python/three_chain_target/67/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [75, -14, -55, 55, 7, -13, -79, -69, -92, -63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -58.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_1:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [84, -69, -51, -38, 93, 67, 3, -97, -44, 55].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":75},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,-69,-51,-44,-38,3,55,67,84,93]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/67/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 47}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 7.\nDefine task_1_bound_static = 61.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    ans = [0] * n\n    for i in range(n):\n        m = right[i] - left[i] - 1\n        ans[m - 1] = max(ans[m - 1], list_2[i])\n    for i in range(n - 2, -1, -1):\n        ans[i] = max(ans[i], ans[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "160", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8,50,48,54]},{\"node_id\":\"task_2\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[54,48,48,8,2]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":160}]"}
{"id": "python/three_chain_target/67/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [44, 38, 9, -34, 45, -33, -86, 6, -27, 79]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_1)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_1[j] - list_1[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_1[j] - list_1[j + 1] + 1)\n            ans[i] += d\n    python_result_1 = min(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -11.\nDefine task_2_bound_static = 61.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "32", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":131},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-10,32,20]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":32}]"}
{"id": "python/three_chain_target/67/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [8, 54, 28, 70, -56, -39, 11, -79, -37, -43]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    k = 3\n    n = len(list_1)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_1[i % n] == list_1[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-1, -21, 40, -25, -1, 60, 26, 97, -15, 54].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "26", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-1,-25,40,-21,-1,54,26,97,-15,60]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":26}]"}
{"id": "python/three_chain_target/67/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 67, "target_native_task_name": "maximumSumOfHeights:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -57}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [43, -10, -80, -60, -66, 23, 84, -3, 87, 46].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [53, -53, -24, 8, -86, 64, -38, -67, -45, 14].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_3):\n        while stk and list_3[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_3[i]\n        while stk and list_3[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_3):\n        if i and x >= list_3[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_3[i] >= list_3[i + 1]:\n            g[i] = g[i + 1] + list_3[i]\n        else:\n            j = right[i]\n            g[i] = list_3[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_3 = max((a + b - c for (a, b, c) in zip(f, g, list_3)))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-605", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[43,-10,-80,-60,-66,23,84,-3,87,46]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[14,-45,-67,-38,64,-86,8,-24,-53,53,43,-10,-80,-60,-66,23,84,-3,87,46]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-605}]"}
{"id": "python/three_chain_target/68/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-27, -10, 89, 6, 90, 29, -7, -94, 27, 82]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-27, 52, -65, 100, -14, 69, -30, -11, -7, 61].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[61,-7,-11,-30,69,-14,100,-65,52,-27,-10,89,6,90,29,-94,27,82]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,2,2,1,3,1,2,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/68/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-57, -77, 45, -86, 59, 45, -22, 50, -82, 52]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_s_static = [37, -60, 56, -38, 8, -31, -17, -4, 36, 83].\nTrace the execution of task_1 with inputs s = task_1_s_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], s: List[int]) -> int:\n    list_1.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_1):\n        while j < len(s) and s[j] < list_1[i]:\n            j += 1\n        if j >= len(s):\n            python_result_1 = i\n            return python_result_1\n        j += 1\n    python_result_1 = len(list_1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [58, 70, -66, 19, -4, -81, -14, 10, 28, -62].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "944", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[58,70,-66,19,-4,-81,-14,10,28,-62]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":944}]"}
{"id": "python/three_chain_target/68/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [42, -70, -73, 50, -13, 61, 9, -31, 53, -78]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-54, 32, 55, 3, -93, 79, -28, -61, -10, -56].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "279", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[92,64,79,102,65,17,53,31,53,28]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,35,93,131,3,-29,93,23,-31,41,-28]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":279}]"}
{"id": "python/three_chain_target/68/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [39, -70, -40, -19, -3, 79, -69, 84, -10, 89]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -76.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    if list_1[0] > k:\n        python_result_1 = k\n        return python_result_1\n    (left, right) = (0, len(list_1))\n    while left < right:\n        mid = left + right >> 1\n        if list_1[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = list_1[left - 1] + k - (list_1[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [56, 1, -43, -92, -75, 37, 86, 82, 69, 67].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "503", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-76},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[56,1,-43,-92,-75,37,86,82,69,67]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":503}]"}
{"id": "python/three_chain_target/68/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 72}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [-1, 16, 8, 70, -25, -79, 61, -21, -37, 26].\nDefine task_1_capacityB_static = -1.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 19.\nDefine task_2_bound_static = 57.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "14", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,20,4,22,10,28,28,46]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":14}]"}
{"id": "python/three_chain_target/68/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 45}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-87, 32, -26, 2, 60, -72, 30, -45, -64, -48].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-72,-64,-48,-45,-26,2,30,32,60]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-72,-64,-48,-45,-26,2,30,32,60,-1]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/68/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-63, -55, -89, 69, 40, 82, 94, -61, -79, -5]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [68, 22, 87, -33, 78, 60, -67, -7, 45, -10].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "1079", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-55,69,69,82,82,94,-1,-5,-5,69]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-10,45,-7,-67,60,78,-33,87,22,68,-55,69,69,82,82,94,-1,-5,-5,69]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":1079}]"}
{"id": "python/three_chain_target/68/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -74}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [-21, 63, -30, -90, -34, 26, 52, 82, 99, -73].\nDefine task_1_capacityB_static = 7.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-43, 33, 40, 8, 45, 31, -59, -2, -64, 45].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "539", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-43,31,33,8,40,45,-64,-2,-59,45]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":539}]"}
{"id": "python/three_chain_target/68/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -73}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -57.\nDefine task_1_bound_static = 27.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-100, 20, 6, 72, -59, 70, -45, -91, 8, 33].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "647", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-56,-72,-130]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[33,8,-91,-45,70,-59,72,6,20,-100,2,-56,-72,-30]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":647}]"}
{"id": "python/three_chain_target/68/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 84}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -9.\nDefine task_1_energy_static = [-15, 61, 75, 18, -79, 93, -60, 44, 68, 18].\nDefine task_1_experience_static = [-7, -43, -85, -67, -93, -84, -50, 29, -32, 2].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [16, -66, 40, -57, -87, 97, -63, 48, 36, -85].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "755", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":608},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[16,-66,36,-63,-87,97,-57,40,48,-85]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":755}]"}
{"id": "python/three_chain_target/68/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-20, 14, 35, -13, 11, -31, -5, 62, -100, -51]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-88, 84, -94, -71, 24, -29, 58, -15, 53, -85].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-85,53,-15,58,-29,24,-71,-94,84,-88,-20,14,35,-13,11,-31,-5,62,0,-51]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,1,3,1,2,2,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/68/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 82}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -71.\nDefine task_1_bound_static = 96.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-70,83,11]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,-70,83,11]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/68/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 68}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [50, -21, -46, 70, -47, -47, 64, -48, 79, -82].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "47", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[50,-82,-48,64,-47,-47,70,-46,79,-21]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[441,6241,2116,4900,2209,2209,4096,2304,6724,2500]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":47}]"}
{"id": "python/three_chain_target/68/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-96, -78, -28, 38, -82, -55, -79, -51, -80, 29]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "335", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[784,1444,6724,3025,6241,2601,6400,841,6084,9216]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[276,148,80,31,35,77,78,119,244,344]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":335}]"}
{"id": "python/three_chain_target/68/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 92}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-6, -7, 89, 74, 78, -28, 81, 85, -6, 44].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "44", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-7,-6,74,78,81,-28,85,89,-6,44]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":44}]"}
{"id": "python/three_chain_target/68/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 68, "target_native_task_name": "numOfWays:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-97, -67, 63, -4, 55, -80, 71, -40, -54, 14]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-48, -61, 36, 69, -61, -87, 88, 23, -5, -54].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_3)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_3 = (dfs(list_3) - 1 + mod) % mod\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "27", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-145,-129,96,63,-6,-168,157,-17,-59,-40]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-45,-29,63,63,-6,-6,-6,-17,-40,-40]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":27}]"}
{"id": "python/three_chain_target/69/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-33, -50, -98, 7, 59, -22, -6, -76, 30, -74]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [55, -59, 93, 80, -4, -85, -5, 79, -99, -15].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[55,-59,93,79,-5,-85,-4,80,-99,-15]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/69/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-65, -70, 56, -15, 6, 79, 62, 84, -54, 77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_1)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_1[0]\n    for (i, v) in enumerate(list_1):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-35, 38, -63, 13, -91, 89, 10, 30, -37, 49].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":3923},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-37,10,-63,13,-91,89,30,38,-35,49]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/69/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 24}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -47.\nDefine task_1_bound_static = 56.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-46,25,-23]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,4,1]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/69/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [16, -69, -75, 32, 23, 59, 49, -27, -21, -70]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-35, -75, -50, -73, 82, 27, 10, -92, -36, 14].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-195},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-35,-75,-50,-73,82,27,10,-92,-36,14]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/69/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [10, -16, -59, 21, -24, 43, -15, -95, 25, -96]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[3,2,1,2,1,0,2,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,4,1,0,0,1,4,1,4,9]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/69/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 13}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -12.\nDefine task_1_bound_static = 19.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-32, -3, -35, -17, -64, -43, 70, 32, 83, -23].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-11,14,1]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-32,-3,-35,-17,-64,-44,69,18,95,-22]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/69/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 53}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 31.\nDefine task_1_bound_static = 77.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -30.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,32,54]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,32,54]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/69/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [10, -38, 70, 29, 26, 8, 23, 27, -65, -96]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_1):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 83.\nDefine task_2_bound_static = 23.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,11]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/69/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 73}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-63, 56, 68, 84, -13, 52, -12, 42, 8, 73].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [12, -31, 36, -75, 11, -78, 15, 33, -19, -23].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":21598},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-78,-75,-31,-23,-19,11,12,15,33,36]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/69/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [16, -66, 13, 6, -75, 62, 12, -55, 66, 10]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 21.\nDefine task_2_bound_static = 98.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-464},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,22,-63,-43]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/69/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [48, -75, 33, 51, 9, -23, -54, -95, -41, -58]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_passengers_static = [92, -38, 18, 56, 92, 66, -33, 66, -78, 68].\nDefine task_1_capacity_static = 73.\nTrace the execution of task_1 with inputs passengers = task_1_passengers_static, capacity = task_1_capacity_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], passengers: List[int], capacity: int) -> int:\n    list_1.sort()\n    passengers.sort()\n    j = 0\n    for t in list_1:\n        c = capacity\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = list_1[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-87, 100, 94, 2, -37, -94, -53, -27, 14, -30].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":51},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,94,100,-87,-53,-37,-30,-27,2,14]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/69/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -44}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-100, 89, -60, -7, -15, -42, -80, -37, -89, 90].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-33, 17, 100, 25, 18, -66, 86, -10, -90, 88].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":90},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-90,-66,-33,-10,17,18,25,86,88,100]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/69/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 78}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-63, -56, 97, -66, 70, -28, 20, -19, -99, -91].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 87.\nDefine task_2_bound_static = 64.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":112},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,13]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/69/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -8}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [12, 62, 95, 71, 0, 37, -62, 89, -16, -43].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[12,62,95,71,0,37,-62,89,-16,-43]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/69/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-59, 45, 29, 9, 9, -96, 53, -34, -38, 28]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 53.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-96,-59,-38,-34,9,9,28,29,45,53]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,6,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/69/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 69, "target_native_task_name": "longestMonotonicSubarray:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [54, 2, -15, -10, -5, 51, 8, -92, 51, -89]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = -90.\nDefine task_1_capacityB_static = 72.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 31.\nDefine task_2_bound_static = 44.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_3[1:]):\n        if list_3[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,32,6,36,26]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/70/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [38, -6, -25, 87, -3, 44, 59, 30, -45, 3]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_1):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-29, -35, -94, 4, 17, -58, -41, 88, 46, -85].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-41,-35,-94,4,17,-58,-29,88,46,-85]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/70/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [66, -53, -64, 80, 20, -68, -29, 65, 49, -65]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-60, 60, 75, -46, -20, -8, 77, -85, -50, -5].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-5,-50,-85,77,-8,-20,-46,75,60,-60,66,-53,-64,80,20,-68,-29,65,49,-65]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[57,2,133,141,72,100,166,137,2,2]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/70/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-15, -89, -14, -32, -5, 9, 55, 53, 33, 86]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, j) = (0, len(list_1) - 1)\n    (a, b) = (list_1[i], list_1[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_1[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_1[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_1[i], list_1[j])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [67, 31, 78, 90, -51, 22, -71, -48, -3, 93].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[67,22,78,90,-51,31,-71,-48,-3,93]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/70/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -6}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-68, 16, -55, 9, -68, 46, -28, -48, 23, -46].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 9.\nDefine task_2_bound_static = 69.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":22},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,10,23,31]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/70/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-5, -48, 10, 81, -75, 25, 22, -33, 35, -18]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (l, r) = (0, len(list_1) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_1[l], list_1[r]) * (r - l)\n        ans = max(ans, t)\n        if list_1[l] < list_1[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [75, -67, 71, -35, 97, -70, -79, -20, -20, -68].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":175},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[71,-79,75,-70,97,-68,-67,-35,-20,-20]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/70/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [22, 94, -3, 90, 22, -6, -73, 9, -75, 20]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_1[0] > 0)\n    g[0] = int(list_1[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_1[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_1[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -85.\nDefine task_2_bound_static = 90.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-84,11,-75]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/70/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [11, -4, 15, -1, -65, -46, 54, 85, -39, -85]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-15, -14, -24, -23, 62, 23, -87, 93, -36, -48].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[54,-4,-46,-1,-65,15,11,85,-39,-85]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-48,-36,93,-87,23,62,-23,-24,-14,-15,54,-4,-46,-1,-65,15,11,85,-39,-85]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/70/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [99, 55, 37, 51, -36, 50, 86, 5, -8, -3]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [82, 74, -50, -22, -35, -11, 95, 95, 97, -2].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[10,5,1,4,1,2,9,3,1,2]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,89,77,-49,-18,-34,-10,101,95,96,0]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/70/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 43}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [20, 3, -48, -18, 64, 15, 81, 41, 15, 37].\nDefine task_1_capacityB_static = -30.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 36.\nDefine task_2_bound_static = 29.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,6,26]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/70/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [13, 83, 95, 15, -18, 31, 48, 86, -15, 100]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-61, -79, 52, -41, -39, -78, -13, -30, -51, 78].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[13,83,95,31,48,86]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[78,-51,-30,-13,-78,-39,-41,52,-79,-61,13,83,95,31,48,86]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/70/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -74}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [22, 66, -89, -96, -50, 47, 80, -80, 37, 60].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[22,66,-89,-96,-50,47,80,-80,37,60]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/70/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [40, 62, -54, -52, 70, -81, 7, 22, 74, 84]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [10, -85, -49, 63, -37, 73, -92, -70, -58, -68].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":12},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[10,-92,-70,63,-68,73,-85,-58,-49,-37]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/70/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -74}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -91.\nDefine task_1_bound_static = 41.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-25, -34, 23, -10, -24, 96, 48, 75, -76, -60].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-90,-73,-165]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-60,-76,75,48,96,-24,-10,23,-34,-25,2,-90,-73,-65]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/70/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [76, 49, 22, -9, -97, 78, 27, -20, -61, 11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-86, -86, -34, -1, -72, -16, 41, 9, -27, -59].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "55", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-10,-37,-12,-10,-170,59,66,-11,-88,-48]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-3,-1,1,3,5,7,9]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":55}]"}
{"id": "python/three_chain_target/70/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 69}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -76.\nDefine task_1_bound_static = 71.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-75,70,-7]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/70/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 70, "target_native_task_name": "incremovableSubarrayCount:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-98, -63, 17, -81, 86, -71, -72, 44, -90, -25]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-70, -15, -31, 100, 64, 82, -79, -61, -8, -46].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    (i, n) = (0, len(list_3))\n    while i + 1 < n and list_3[i] < list_3[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_3 = n * (n + 1) // 2\n        return python_result_3\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_3[i] >= list_3[j]:\n            i -= 1\n        ans += i + 2\n        if list_3[j - 1] >= list_3[j]:\n            break\n        j -= 1\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-70,-15,-31,100,64,82,-79,-61,-8,-46]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/71/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [20, -79, -77, 98, -77, -6, -73, -72, 95, -62]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-83, 22, -83, -9, -60, 7, 54, -13, 78, -43].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-63,-57,-161,87,-137,1,-19,-86,171,-105]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-63,-57,-61,87,71]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/71/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [47, 94, -60, -8, -89, 80, -8, 41, -11, 9]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    g = [[0] * n for _ in range(n)]\n    for j in range(1, n - 2):\n        cnt = sum((list_1[l] > list_1[j] for l in range(j + 1, n)))\n        for k in range(j + 1, n - 1):\n            if list_1[j] > list_1[k]:\n                f[j][k] = cnt\n            else:\n                cnt -= 1\n    for k in range(2, n - 1):\n        cnt = sum((list_1[i] < list_1[k] for i in range(k)))\n        for j in range(k - 1, 0, -1):\n            if list_1[j] > list_1[k]:\n                g[j][k] = cnt\n            else:\n                cnt -= 1\n    python_result_1 = sum((f[j][k] * g[j][k] for j in range(1, n - 2) for k in range(j + 1, n - 1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [27, 47, 80, -17, 30, -76, -17, 32, -28, -26].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[27,47,80,-17,30,-76,-17,32,-28,-26]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/71/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -67}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -44.\nDefine task_2_bound_static = 66.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-76},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-43,-75,-120]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/71/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 43}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-27, 73, -10, 65, -24, -7, 61, -66, -65, 90].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-29, 44, 33, 89, -14, 73, -70, -37, -79, -32].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-66,61,-65,65,-27,-24,73,-10,-7,90]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-32,-79,-37,-70,73,-14,89,33,44,-29,-66,61,-65,65,-27,-24,-10,-7,90]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/71/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -55}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -71.\nDefine task_1_bound_static = 59.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [76, -36, -39, 77, 48, 48, -44, 3, -16, 39].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-70,-54,-126]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,74,-36,-40,74,45,46,-42,-67,-71,11]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/71/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [39, -45, -38, 39, -75, -38, -7, -14, -8, 63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-18, -26, 6, 58, 9, -56, -63, -47, -59, 18].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-8,-14,-38,-38,-75,39,-7,-45,39,63]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-26,-40,-33,18,-66,-17,-70,-92,-21,79]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/71/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 37}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [84, 40, -98, 34, 55, -40, 20, 86, 20, 48].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[20,20,-98,34,40,-40,48,55,84,86]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[20,20,-98,34,40,-40,48,86,84,55]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/71/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -35}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 80.\nDefine task_1_energy_static = [-31, -9, 80, -73, 44, 27, -15, -26, -90, 90].\nDefine task_1_experience_static = [-82, 90, 65, -59, 87, 89, -95, -2, -98, 16].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -45.\nDefine task_2_bound_static = 57.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":126},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-44,27,-19]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/71/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [47, -77, 51, -53, -41, -41, -30, -14, -53, 34]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_1)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_1[0]\n    for (i, v) in enumerate(list_1):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -83.\nDefine task_2_bound_static = 72.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":5650},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-82,51,-33]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/71/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -93}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -52.\nDefine task_1_bound_static = 15.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -48.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-51,-92,-145]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,-51,-92,-45]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/71/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 1}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [87, -75, -84, -62, -67, -92, -90, -79, 8, -25].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -54.\nDefine task_2_bound_static = 53.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":112},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-53,13,-42]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/71/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -52}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [6, -79, -96, -75, 89, -35, -53, -41, -9, -29].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[6,-79,-96,-75,89,-35,-53,-41,-9,-29]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,2,1,1,2,3,1,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/71/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 72}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [58, 9, 30, 62, -80, 89, -85, 8, 65, -48].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[58,8,30,62,-85,89,-80,9,65,-48]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/71/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 5}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [93, 49, -59, 6, 96, 20, -9, 24, -98, -49].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-96, -24, -21, 47, 88, 89, -3, -7, 78, -29].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-96,-29,-24,47,88,89,-7,-3,78,-21]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/71/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [11, -5, -86, -86, 53, -13, 60, -44, -63, -11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,3,1,1,2,1,2,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-3,-1,0,0,0,0,0,1,2,4]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/71/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 71, "target_native_task_name": "findNumberOfLIS:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-74, -64, -62, -37, 78, 32, -82, -58, -64, -8]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    s = set()\n    for n in list_1:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_1 = len(s)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -41.\nDefine task_2_bound_static = 76.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_3[j] < list_3[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-40,4,-38,10,-32,28,-14]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/72/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 43}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [30, -95, -9, 6, -37, 63, 94, 73, -83, -45].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-8,-6,-4,-2,0,2,4,6,8,10]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-83,-45,-37,-9,6,30,63,73,94]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-95,-83,-45,-37,-9,6,30,63,73,94]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]}]"}
{"id": "python/three_chain_target/72/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [96, 1, 57, 25, 84, -84, -82, 31, -55, -100]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_1[j] * (j - i)\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 59.\nDefine task_2_bound_static = 89.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-2,0,2,4]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":429},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,60,30,88]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-2,0,2,4]}]"}
{"id": "python/three_chain_target/72/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -57}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-62, 47, 58, -93, 88, 75, 26, -94, 86, 8].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-4,-2,-1,-1,1,2,2,3,4,5]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-62,47,58,-93,88,75,26,-94,86,8]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[47,58,88,88,-1,86,86,86,88,47]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-4,-2,-1,-1,1,2,2,3,4,5]}]"}
{"id": "python/three_chain_target/72/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 13}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-86, 19, -11, -12, 85, -36, -32, 12, -91, -34].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 45.\nDefine task_2_bound_static = 61.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[0,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":85},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,46]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[0,2]}]"}
{"id": "python/three_chain_target/72/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-7, 51, -72, 3, -72, 74, 24, 10, 36, -95]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-35, -90, 81, 55, 27, -68, 76, 57, -51, -95].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-7,-7,-5,-3,-1,1,3,4,6,8]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[41,85,64,5,74,72,26,60,106,47]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,4,-6,142,57,98,1,99,115,-45,-48]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-7,-7,-5,-3,-1,1,3,4,6,8]}]"}
{"id": "python/three_chain_target/72/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 67}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -50.\nDefine task_2_bound_static = 79.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-2,0,2,4]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":67},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-49,68,17]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-2,0,2,4]}]"}
{"id": "python/three_chain_target/72/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -20}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -55.\nDefine task_1_bound_static = 37.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-1,1,3]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-54,-19,-75]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-1,1,3]}]"}
{"id": "python/three_chain_target/72/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [90, -1, -90, -28, -28, -24, -33, 78, -67, 71]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [77, -22, 95, 10, -39, 44, -50, -35, -50, -77].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-7,-5,-3,-1,1,3,5,6,7,9]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,165,-24,3,-18,-68,18,-84,41,-117,-6]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-84,18,-68,-24,-18,3,65,1,1,41]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-7,-5,-3,-1,1,3,5,6,7,9]}]"}
{"id": "python/three_chain_target/72/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -51}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -99.\nDefine task_2_bound_static = 70.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-1,1,2,3]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-15},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-98,-14,-114]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-1,1,2,3]}]"}
{"id": "python/three_chain_target/72/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -97}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 36.\nDefine task_1_bound_static = 65.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-2,0,2,4]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,37,-96,-61]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[120,159,100,57]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-2,0,2,4]}]"}
{"id": "python/three_chain_target/72/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -6}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [49, 88, -98, 32, -5, -66, -28, -64, -88, 70].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -9.\nDefine task_2_bound_static = 33.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[0,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":71},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-8]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[0,2]}]"}
{"id": "python/three_chain_target/72/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-15, -77, 57, 76, 30, 0, 18, -94, 14, 49]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-3,-1,1,3,5]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-15,-77,-94,14,49]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[14,-94,-77,-15,49]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-3,-1,1,3,5]}]"}
{"id": "python/three_chain_target/72/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -68}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -8.\nDefine task_1_bound_static = 96.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-6,-4,-2,0,2,4,6,8]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-7,65,-511,-67,-76,-4,-580]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,-80,-4,-76,-67,-11,65,-7]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-6,-4,-2,0,2,4,6,8]}]"}
{"id": "python/three_chain_target/72/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 28}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [-8, -60, 72, 48, 9, 74, 73, 67, -8, 46].\nDefine task_1_passengers_static = [-76, -93, 77, 9, 81, 86, -43, 99, 68, 32].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -12.\nDefine task_2_bound_static = 70.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[0,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":74},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-11]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[0,2]}]"}
{"id": "python/three_chain_target/72/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [2, 51, -51, 75, -14, -20, -43, 43, -14, -14]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_target_static = 51.\nTrace the execution of task_1 with inputs target = task_1_target_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], target: int) -> int:\n    list_1.sort()\n    (ans, n) = (0, len(list_1))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_1[i] + list_1[j] + list_1[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-45, 32, -96, 16, -62, -65, -30, 83, -87, -80].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-8,-6,-4,-2,0,2,4,6,8,10]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":95},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-96,-87,-80,-65,-62,-45,-30,16,32,83]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]}]"}
{"id": "python/three_chain_target/72/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 72, "target_native_task_name": "distinctDifferenceArray:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-81, 29, -80, 48, -23, -69, 80, -37, -24, 20]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -79.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -6.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_3[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_3):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-8,-6,-4,-2,0,2,4,6,8,10]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-81,29,-80,48,-23,-69,80,-37,-24,20]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-81,29,-80,48,-23,-69,80,-37,-24,20]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]}]"}
{"id": "python/three_chain_target/73/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-83, 64, 54, -9, -73, 16, -64, 98, 95, -30]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_2)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_2[0]\n    for (i, v) in enumerate(list_2):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,3,2,1,2,1,1,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":6}]"}
{"id": "python/three_chain_target/73/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -82}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [63, -42, 10, -82, -22, 81, -80, 1, -59, 42].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_2 = 1\n            return python_result_2\n        if x * y <= val_2:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-28},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/73/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-57, -16, -19, -37, -10, -32, -69, -19, -15, -50].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_plants_static = [-41, 99, 85, 76, 3, 78, -31, -40, -90, 67].\nDefine task_2_capacityB_static = -13.\nTrace the execution of task_2 with inputs plants = task_2_plants_static, capacityB = task_2_capacityB_static.\n```python\nfrom typing import List\ndef task_2(plants: List[int], val_2: int, capacityB: int) -> int:\n    (a, b) = (val_2, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_2\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-96},{\"node_id\":\"task_2\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":6}]"}
{"id": "python/three_chain_target/73/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [37, -82, -86, 29, -13, -12, -11, -17, 48, 73]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, j) = (0, len(list_1) - 1)\n    (a, b) = (list_1[i], list_1[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_1[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_1[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_1[i], list_1[j])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-6, -61, -54, -84, 35, 37, -64, 62, 91, 19].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_2 == 1:\n        python_result_2 = ans % mod\n        return python_result_2\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_2 - 2) * s + mx_pre + mx_suf)\n    python_result_2 = ans % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":180},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/73/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -18}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [83, -4, 20, -85, -96, -87, 61, -62, -81, -38].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-19, -6, -67, 13, 85, -69, 6, 66, 94, 31].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_2:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "24", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":42},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":24}]"}
{"id": "python/three_chain_target/73/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -21}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -47.\nDefine task_1_bound_static = 28.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    if list_2[0] <= list_2[-1]:\n        python_result_2 = list_2[0]\n        return python_result_2\n    (left, right) = (0, len(list_2) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_2[0] <= list_2[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_2 = list_2[left]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-64", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-46,-20,-68]},{\"node_id\":\"task_2\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-46},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-64}]"}
{"id": "python/three_chain_target/73/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [90, -39, -80, -90, -47, -12, 27, 25, -38, -86]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_1))\n    while i < n:\n        j = i + 1\n        while j < n and list_1[j - 1] - list_1[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [73, 2, -17, -56, 76, -16, -85, 45, -83, 100].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":9}]"}
{"id": "python/three_chain_target/73/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [21, -6, -76, 89, -4, -89, -58, 77, 0, -79]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [-99, 34, 83, 63, 18, 88, 59, -56, 57, 91].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_1), sum(nums2))\n    python_result_1 = max(s2 + f(list_1, nums2), s1 + f(nums2, list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    while 1:\n        (t, s, i) = (val_2, 0, 2)\n        while i <= val_2 // i:\n            while val_2 % i == 0:\n                val_2 //= i\n                s += i\n            i += 1\n        if val_2 > 1:\n            s += val_2\n        if s == t:\n            python_result_2 = t\n            return python_result_2\n        val_2 = s\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "17", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":471},{\"node_id\":\"task_2\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":71},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":17}]"}
{"id": "python/three_chain_target/73/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-30, 80, 63, 23, 69, -40, 72, 64, 92, 92]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] >= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [12, -75, 50, 36, 47, 46, -98, 89, 37, 53].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "42", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":22},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":24},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":42}]"}
{"id": "python/three_chain_target/73/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 63}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-8, -19, -1, -13, 72, 49, -71, -13, 20, -73].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_trainers_static = [45, -80, 31, 35, 3, -69, -33, -17, -96, 48].\nTrace the execution of task_2 with inputs trainers = task_2_trainers_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], trainers: List[int]) -> int:\n    list_2.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_2):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_2 = i\n            return python_result_2\n        j += 1\n    python_result_2 = len(list_2)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-73,-71,-19,-13,-13,-8,-1,20,49,72]},{\"node_id\":\"task_2\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/73/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -42}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [75, 61, 88, 24, 45, 85, 68, 30, -3, 94].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_buses_static = [4, -11, -90, -79, -74, 60, 99, 26, 74, 23].\nDefine task_2_passengers_static = [-96, 87, 80, 19, -88, 67, 15, 57, 87, -60].\nTrace the execution of task_2 with inputs buses = task_2_buses_static, passengers = task_2_passengers_static.\n```python\nfrom typing import List\ndef task_2(buses: List[int], passengers: List[int], val_2: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_2\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "99", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-42},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":99},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":99}]"}
{"id": "python/three_chain_target/73/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-43, 90, -15, 46, -65, 88, 69, 43, -48, -69]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    g = []\n    for x in list_1:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_1 = len(g)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [-78, -12, -50, -79, 56, -36, -45, -8, 64, 55].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/73/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-68, 11, -35, 0, -47, -72, 85, -77, 27, 8]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -24.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_s_static = [69, -22, 75, -16, -64, -98, -20, -73, 95, -4].\nTrace the execution of task_2 with inputs s = task_2_s_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], s: List[int]) -> int:\n    list_2.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_2):\n        while j < len(s) and s[j] < list_2[i]:\n            j += 1\n        if j >= len(s):\n            python_result_2 = i\n            return python_result_2\n        j += 1\n    python_result_2 = len(list_2)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-68,11,-35,0,-47,-72,85,-77,27,8]},{\"node_id\":\"task_2\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/73/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [95, 4, -59, -56, -3, 71, 83, -6, -11, -36]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_2)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_2 = (dfs(list_2) - 1 + mod) % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "93", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-36,4,-6,-56,-3,71,83,-59,-11,95]},{\"node_id\":\"task_2\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":1439},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":93}]"}
{"id": "python/three_chain_target/73/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-60, -13, 100, -54, -61, -49, -95, 76, -57, 12]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [7, -82, -17, -10, 18, -37, 9, -49, -81, -79].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_1), sum(nums2))\n    python_result_1 = max(s2 + f(list_1, nums2), s1 + f(nums2, list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_2:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_2 = 0\n            return python_result_2\n        y = val_2 % 10\n        if val_2 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_2 = (val_2 - y) // 10\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "-62", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":-62},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-26},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-62}]"}
{"id": "python/three_chain_target/73/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 73, "target_native_task_name": "reverse:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -30}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_customers_static = [-30, -2, 5, -59, 29, -1, -45, -17, 100, 16].\nDefine task_2_runningCost_static = 71.\nTrace the execution of task_2 with inputs customers = task_2_customers_static, runningCost = task_2_runningCost_static.\n```python\nfrom typing import List\ndef task_2(customers: List[int], val_2: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_2 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_3:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_3 = 0\n            return python_result_3\n        y = val_3 % 10\n        if val_3 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_3 = (val_3 - y) // 10\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-29},{\"node_id\":\"task_2\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/74/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-79, 47, -97, 37, -28, 43, -7, -86, 30, 9]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_1[j] > list_1[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 12.\nDefine task_2_bound_static = 38.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [73, 19, 30, 77, -87, -20, -59, 41, -24, -39].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,13,10,21]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/74/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 55}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [3, -20, 85, -6, -9, -93, -28, 31, -41, 3].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [9, -5, -22, 21, 95, -72, -73, -22, 3, 4].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [-42, -51, -79, -89, 99, 95, 86, -79, 25, 12].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":85},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-73,-72,-22,-22,-5,3,4,9,21,95]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/74/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [46, 68, -6, -60, -15, 81, -33, -23, -7, 35].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -98.\nDefine task_2_bound_static = 75.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [9, -97, -31, 84, -97, -60, -91, 77, 76, 48].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-97,8,-91,50,-49]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/74/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-22, 62, -43, 20, 100, -9, 0, -63, -94, -53]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [17, -20, -78, -86, 52, 41, 87, 37, -26, -63].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_1[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_1[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_1 = m\n                return python_result_1\n    python_result_1 = max((f[i][i] + (list_1[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-90, -48, 49, 98, -44, -78, -100, 42, 10, 65].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [77, -42, -72, -34, -62, 3, 11, -88, 61, -99].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-90,-48,49,98,-44,-78,-100,42,10,65]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/74/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-55, -27, 21, -56, 61, 44, -40, 31, 99, 24]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [3, -88, -81, -34, 95, 86, -22, 74, 15, 55].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [-20, 46, 97, -10, -93, -91, -71, -55, -75, -69].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[157,239,245,280,275,170,166,175,45,78]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[55,15,74,-22,86,95,-34,-81,-88,3,57,39,45,80,75,70,66,75,45,78]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/74/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [92, -71, 80, 94, 33, -28, -72, -98, -31, 36]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_1)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_1 = (dfs(list_1) - 1 + mod) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 38.\nDefine task_2_bound_static = 55.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [71, 59, 32, 60, 14, 13, -19, -27, -68, 18].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":566},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,39]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/74/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -93}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -53.\nDefine task_1_energy_static = [63, -58, 9, 14, 34, 60, -9, 43, -97, -15].\nDefine task_1_experience_static = [37, 8, -57, 0, -65, -3, 37, -17, -46, -41].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -87.\nDefine task_2_bound_static = 43.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [95, -82, -4, -79, 44, -4, 18, -16, -46, 70].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":309},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-86,10,-78]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/74/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-26, 27, -58, 98, -26, 40, 49, -48, -60, -19]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -86.\nDefine task_2_bound_static = 22.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [62, 54, -27, 47, -54, 34, 16, 21, 66, -75].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-85,7,-80]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/74/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -28}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-94, -15, 91, 97, -91, -46, -16, 61, 28, -56].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [58, 18, 2, 18, -78, 79, -43, 20, 51, 51].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [21, 52, -80, 76, 60, -47, -35, 69, 28, -44].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":54},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-78,-43,2,18,18,20,51,51,58,79]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/74/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 83}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-87, 0, -56, -86, 47, 96, -59, -56, 73, 22].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [-32, 48, -11, -93, -45, 97, 54, -63, 14, -54].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-86,-59,-56,-56,0,22,47,73,96]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-87,-86,-59,-56,-56,0,22,47,73,96]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/74/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 70}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [-26, -22, -35, -82, -87, 1, 78, 34, 92, -85].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -7.\nDefine task_2_bound_static = 98.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [85, 70, -29, 12, 19, -43, 65, -52, 37, -82].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-6,50,-342,11,3,59,-333]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/74/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -89}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [5, -61, 59, -33, 99, -86, 17, -79, -51, 40].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [88, -77, -46, 94, -72, -23, -52, 76, 26, -57].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [31, 11, 61, 3, 72, 32, -91, 90, -4, -7].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":99},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-77,-72,-57,-52,-46,-23,26,76,88,94]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/74/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -24}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 13.\nDefine task_1_energy_static = [1, 32, 42, -17, -82, -88, 42, -96, -43, -53].\nDefine task_1_experience_static = [3, -67, -25, 79, 19, 13, 53, -60, 20, 60].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-9, 82, 51, -9, 64, -33, 86, -61, 93, 92].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [11, -43, -96, -3, -83, 47, 89, 39, 15, 31].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":156},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-61,51,64,-33,82,-9,86,-9,92,93]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/74/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -90}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -55.\nDefine task_1_bound_static = 66.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 35.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [-20, -59, -25, 11, 38, -34, -67, 67, 39, 39].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-54,-89,-145]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,-89,-54,-45]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/74/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -48}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [62, 58, 47, 64, 13, -43, 27, 64, -79, 36].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [59, 58, -91, 38, 38, -80, 8, 30, 59, 7].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[62,58,47,64,13,-43,27,64,-79,36]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[62,58,36,64,64,-43,27,13,-79,47]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/74/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 74, "target_native_task_name": "maxBoxesInWarehouse:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [5, -81, -35, -65, 97, -65, -6, -59, 9, -55]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_warehouse_static = [82, 59, -91, 82, 10, -35, 37, -13, 100, 67].\nTrace the execution of task_3 with inputs warehouse = task_3_warehouse_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_3.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_3):\n        while j >= 0 and left[j] < list_3[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_3 = i\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[4,1,2,1,0,1,2,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,2,4,2,1,2,4,4,4,4]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/75/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 69}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 25.\nDefine task_1_bound_static = 48.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = -44.\nDefine task_3_initialExperience_static = 56.\nDefine task_3_experience_static = [-90, 28, -32, -75, -63, -12, 20, 88, -99, 54].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "330", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,26]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[2,26]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":330}]"}
{"id": "python/three_chain_target/75/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -3}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-51, -3, -93, -88, 39, 80, 96, -21, -58, -70].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 6.\nDefine task_2_bound_static = 86.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = 30.\nDefine task_3_initialExperience_static = 82.\nDefine task_3_experience_static = [-6, -34, 5, -94, -20, 79, 77, 64, -11, -50].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "418", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,7,37,8,13,43,50,55,85]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":418}]"}
{"id": "python/three_chain_target/75/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -56}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [48, 98, -90, 65, 78, -85, 79, -89, -25, -81].\nDefine task_1_passengers_static = [24, -84, 46, 56, -59, 92, 65, 79, 30, 65].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-45, -86, 77, -9, 0, 79, 26, 56, 44, -74].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = 97.\nDefine task_3_initialExperience_static = -74.\nDefine task_3_experience_static = [-69, 41, -17, -23, 48, -53, -90, 95, 13, -44].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "333", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":98},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,-74,-45,-9,0,26,44,56,77,79]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":333}]"}
{"id": "python/three_chain_target/75/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 33}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [-82, 86, 100, -49, 59, -66, -26, -19, -56, -30].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-20, -68, 72, -2, 92, -36, 72, 90, 7, -85].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = -69.\nDefine task_3_initialExperience_static = 33.\nDefine task_3_experience_static = [-98, 22, -39, -27, 13, 37, -37, 100, 50, -68].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "389", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-20,-68,72,-2,90,-36,72,92,7,-85]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":389}]"}
{"id": "python/three_chain_target/75/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -20}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [64, -35, 50, 52, -50, 69, 72, -52, 53, 36].\nDefine task_1_capacityB_static = 88.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -91.\nDefine task_2_bound_static = 79.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = -74.\nDefine task_3_initialExperience_static = -17.\nDefine task_3_experience_static = [-50, -8, -18, 47, -42, 21, -7, -84, -23, -92].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "141", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-90,8,-84,50,-42]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":141}]"}
{"id": "python/three_chain_target/75/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 95}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -29.\nDefine task_1_bound_static = 80.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = -56.\nDefine task_3_initialExperience_static = 69.\nDefine task_3_experience_static = [70, 98, -98, 79, 20, -99, 81, -30, -46, 7].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "62", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-28]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":62}]"}
{"id": "python/three_chain_target/75/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-80, 47, -77, -23, -26, 9, 11, 27, 60, -60]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = -57.\nDefine task_3_initialExperience_static = 18.\nDefine task_3_experience_static = [-74, 20, 62, 27, -12, 80, 29, -8, -89, -42].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "397", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,4,4,16,16,36,36,64,64,100]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":397}]"}
{"id": "python/three_chain_target/75/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -32}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-76, 77, -77, -10, 70, -45, -78, -90, 24, -18].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 15.\nDefine task_2_bound_static = 33.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = 0.\nDefine task_3_initialExperience_static = -7.\nDefine task_3_experience_static = [35, 11, 97, 40, 20, 66, 96, -95, 17, -18].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "114", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,16,11,25]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":114}]"}
{"id": "python/three_chain_target/75/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 93}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [57, -59, -34, -77, -44, 84, -37, 79, -60, -22].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-12, -50, -84, 39, 4, 67, 42, 25, -88, 93].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = -78.\nDefine task_3_initialExperience_static = 9.\nDefine task_3_experience_static = [23, 62, -8, -15, -95, -67, -79, 24, -21, 43].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "326", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-77,-60,-59,-44,-37,-34,-22,57,79,84]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[93,-88,25,42,67,4,39,-84,-50,-12,-77,-60,-59,-44,-37,-34,-22,57,79,84]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":326}]"}
{"id": "python/three_chain_target/75/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -51}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-72, -78, 87, -82, 100, 72, 46, -54, 59, 31].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-13, -14, -47, -5, -27, 70, -79, 49, 76, -24].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = -75.\nDefine task_3_initialExperience_static = -71.\nDefine task_3_experience_static = [-15, -54, -59, 99, -39, -43, -60, -68, -59, 52].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "422", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-72,-78,87,-82,100,72,46,-54,59,31]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-85,-93,38,-87,-28,140,-33,-6,132,5]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":422}]"}
{"id": "python/three_chain_target/75/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 23}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-63, 57, -52, -65, 69, -3, 27, 50, 46, -51].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = -56.\nDefine task_3_initialExperience_static = -62.\nDefine task_3_experience_static = [36, -52, 55, 48, 76, -18, 82, 28, 92, -90].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "510", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-65,27,-63,-52,46,-3,50,57,69,-51]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[27,46,-52,46,50,50,57,69,-1,27]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":510}]"}
{"id": "python/three_chain_target/75/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-5, 42, -44, 74, 24, 30, -98, 44, -64, -47]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = 100.\nDefine task_3_initialExperience_static = -11.\nDefine task_3_experience_static = [4, -4, 47, -8, 85, 49, -33, 41, 5, -26].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "59", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-64,42,-44,74,24,30,-98,44,-5,-47]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-64,-44,-98,-47]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":59}]"}
{"id": "python/three_chain_target/75/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [24, -10, 12, -36, 5, 8, 39, 1, -83, -39]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_trainers_static = [8, -43, -73, -43, -76, -68, -62, 4, 70, 54].\nTrace the execution of task_1 with inputs trainers = task_1_trainers_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], trainers: List[int]) -> int:\n    list_1.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_1):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_1 = i\n            return python_result_1\n        j += 1\n    python_result_1 = len(list_1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -76.\nDefine task_2_bound_static = 100.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = -18.\nDefine task_3_initialExperience_static = -95.\nDefine task_3_experience_static = [-23, 27, 96, 94, -58, 41, -46, -42, 27, 43].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "188", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-75,6,-71,26,-51]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":188}]"}
{"id": "python/three_chain_target/75/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-2, 30, -57, 40, 55, -38, -13, 59, 36, 83]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (l, r) = (0, len(list_1) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_1[l], list_1[r]) * (r - l)\n        ans = max(ans, t)\n        if list_1[l] < list_1[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -13.\nDefine task_2_bound_static = 39.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = -75.\nDefine task_3_initialExperience_static = 41.\nDefine task_3_experience_static = [-75, -23, -65, 15, -78, -6, 34, -50, 97, 73].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "371", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":275},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-12]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":371}]"}
{"id": "python/three_chain_target/75/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 60}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-14, -68, 21, -30, 18, 4, 24, -94, 93, -29].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = 54.\nDefine task_3_initialExperience_static = -19.\nDefine task_3_experience_static = [-25, -91, 88, -85, 90, -47, 33, 57, -79, 36].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "774", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-68,-30,-29,-14,4,18,21,93,24]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[19,181,279,338,381,391,369,330,216,99]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":774}]"}
{"id": "python/three_chain_target/75/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 75, "target_native_task_name": "minNumberOfHours:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -68}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [8, 77, -70, 60, -27, 89, -2, 25, 89, 51].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_initialEnergy_static = -55.\nDefine task_3_initialExperience_static = -26.\nDefine task_3_experience_static = [34, 91, 7, 93, 94, 44, 7, 0, -51, -62].\nTrace the execution of task_3 with inputs initialEnergy = task_3_initialEnergy_static, initialExperience = task_3_initialExperience_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(initialEnergy: int, initialExperience: int, list_3: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_3)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "440", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-86},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[8,77,-70,60,-27,89,-2,25,89,51]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":440}]"}
{"id": "python/three_chain_target/76/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 74}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-6, -58, 15, 31, 48, -69, -7, 6, -34, 25].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_2:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = 95.\nDefine task_3_energy_static = [-47, 100, -50, 35, -38, 95, 10, -77, -82, -1].\nDefine task_3_experience_static = [-71, 97, -18, 20, 64, -66, 96, 80, 13, -59].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "74", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":74},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":74}]"}
{"id": "python/three_chain_target/76/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -63}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-47, 78, -30, 77, 50, 73, 51, 5, 80, -84].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [-52, -12, 43, 48, 30, -20, -26, -65, 94, -79].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = 70.\nDefine task_3_energy_static = [-4, -15, 99, -100, 21, 84, 63, -25, -96, -84].\nDefine task_3_experience_static = [12, -96, -89, 41, -66, -57, 72, 47, 51, -6].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "258", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":344},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":258}]"}
{"id": "python/three_chain_target/76/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [34, 46, 63, -23, -58, 35, -64, 39, -49, -63]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [96, 32, -33, -16, 49, -39, -88, 27, -52, -7].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_1), sum(nums2))\n    python_result_1 = max(s2 + f(list_1, nums2), s1 + f(nums2, list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [28, -44, -4, -73, 96, 88, 90, -84, 72, -48].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = -38.\nDefine task_3_energy_static = [87, -34, -67, 21, 71, 71, -94, -7, -4, 79].\nDefine task_3_experience_static = [-91, 36, -87, -65, -83, -82, 6, -65, 34, -16].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "624", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":82},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":624}]"}
{"id": "python/three_chain_target/76/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 97}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [98, -69, -18, 86, -81, -28, -54, 54, 35, 34].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_2[i]\n        while stk and list_2[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_2):\n        if i and x >= list_2[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_2[i] >= list_2[i + 1]:\n            g[i] = g[i + 1] + list_2[i]\n        else:\n            j = right[i]\n            g[i] = list_2[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_2 = max((a + b - c for (a, b, c) in zip(f, g, list_2)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = 63.\nDefine task_3_energy_static = [-64, 83, 63, 58, -15, 19, 72, -18, -94, 41].\nDefine task_3_experience_static = [-61, -52, 86, -85, 76, 90, -59, 82, 9, -25].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "226", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,-69,-54,-28,-18,34,35,54,86,98]},{\"node_id\":\"task_2\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":57},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":226}]"}
{"id": "python/three_chain_target/76/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-8, -68, 79, -98, 20, -73, -64, -53, -7, -88]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_2[i] > list_2[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_2[i] > list_2[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_2 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = 86.\nDefine task_3_energy_static = [69, -25, 93, -60, 14, 31, 6, -98, 64, -9].\nDefine task_3_experience_static = [-49, -70, -63, 23, -32, 23, 28, -68, 59, 55].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "223", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":45},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":223}]"}
{"id": "python/three_chain_target/76/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 92.\nDefine task_1_bound_static = 11.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (i, n) = (0, len(list_2))\n    while i + 1 < n and list_2[i] < list_2[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_2 = n * (n + 1) // 2\n        return python_result_2\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_2[i] >= list_2[j]:\n            i -= 1\n        ans += i + 2\n        if list_2[j - 1] >= list_2[j]:\n            break\n        j -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = 23.\nDefine task_3_energy_static = [12, 92, 96, 50, -62, -93, 55, -57, 22, 78].\nDefine task_3_experience_static = [-76, 46, 2, -14, 59, -91, -80, 85, 58, -87].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "408", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-37]},{\"node_id\":\"task_2\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":408}]"}
{"id": "python/three_chain_target/76/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-61, -8, -85, 52, -19, 22, 69, -96, -9, -70]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [[0] * n for _ in range(n)]\n    d = {x: i for (i, x) in enumerate(list_1)}\n    for i in range(n):\n        for j in range(i):\n            f[i][j] = 2\n    ans = 0\n    for i in range(2, n):\n        for j in range(1, i):\n            t = list_1[i] - list_1[j]\n            if t in d and (k := d[t]) < j:\n                f[i][j] = max(f[i][j], f[j][k] + 1)\n                ans = max(ans, f[i][j])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [57, 69, -45, -62, -42, -54, -93, 86, 67, -79].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_2:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = -94.\nDefine task_3_energy_static = [-75, 7, -91, 52, -99, -46, -17, 88, 58, 65].\nDefine task_3_experience_static = [62, -43, 8, 65, 44, -23, -45, 59, 54, 79].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "157", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":80},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":157}]"}
{"id": "python/three_chain_target/76/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 64}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    while 1:\n        (t, s, i) = (val_2, 0, 2)\n        while i <= val_2 // i:\n            while val_2 % i == 0:\n                val_2 //= i\n                s += i\n            i += 1\n        if val_2 > 1:\n            s += val_2\n        if s == t:\n            python_result_2 = t\n            return python_result_2\n        val_2 = s\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = 63.\nDefine task_3_energy_static = [-87, -69, -53, -18, 7, -4, 98, -52, -63, -30].\nDefine task_3_experience_static = [50, -11, -59, 87, 75, -18, -38, -86, -24, -46].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "45", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":59},{\"node_id\":\"task_2\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":59},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":45}]"}
{"id": "python/three_chain_target/76/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-98, 8, 44, -46, 90, -28, 14, 86, 93, -88]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_s_static = [-45, -59, 83, 12, 87, -23, 4, -6, -67, 97].\nTrace the execution of task_1 with inputs s = task_1_s_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], s: List[int]) -> int:\n    list_1.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_1):\n        while j < len(s) and s[j] < list_1[i]:\n            j += 1\n        if j >= len(s):\n            python_result_1 = i\n            return python_result_1\n        j += 1\n    python_result_1 = len(list_1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_tokens_static = [-42, 32, 50, 71, -72, -93, -85, -19, -90, -26].\nTrace the execution of task_2 with inputs tokens = task_2_tokens_static.\n```python\nfrom typing import List\ndef task_2(tokens: List[int], val_2: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_2 >= tokens[i]:\n            val_2 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_2 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = -23.\nDefine task_3_energy_static = [45, -19, -37, 69, -12, -36, 46, -69, -8, 86].\nDefine task_3_experience_static = [-94, -49, 73, 29, -43, -26, 89, -37, 64, 48].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "296", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":296}]"}
{"id": "python/three_chain_target/76/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 61}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-23, 1, -31, -35, -21, -58, 51, -26, 75, -46].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-69, 76, -13, -13, -27, -89, 13, -51, 88, -72].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_2 == 1:\n        python_result_2 = ans % mod\n        return python_result_2\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_2 - 2) * s + mx_pre + mx_suf)\n    python_result_2 = ans % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = 30.\nDefine task_3_energy_static = [46, 68, -23, 68, 70, -12, 52, -26, -15, 95].\nDefine task_3_experience_static = [53, 7, -37, 80, 13, -38, 54, 39, -78, -40].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "264", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":69},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":88},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":264}]"}
{"id": "python/three_chain_target/76/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-40, -21, -38, -21, 56, -42, 81, -40, 73, -74]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_2[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_2[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_2[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_2[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_2[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_2 = max_total\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = 27.\nDefine task_3_energy_static = [33, 28, -3, -83, -95, -90, -56, -76, 15, 95].\nDefine task_3_experience_static = [51, 76, 54, 86, 48, 5, -37, -95, 48, -85].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "25", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-21,56,-21,56,81,81,-1,73,81,-40]},{\"node_id\":\"task_2\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":112},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":25}]"}
{"id": "python/three_chain_target/76/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 16}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 69.\nDefine task_1_bound_static = 86.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_2):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = -75.\nDefine task_3_energy_static = [-89, 74, 63, 48, 23, -38, -88, -97, -6, 54].\nDefine task_3_experience_static = [8, -51, -18, 5, 23, -73, 8, 22, -43, -58].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "196", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,70,17,85]},{\"node_id\":\"task_2\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":196}]"}
{"id": "python/three_chain_target/76/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-40, -85, -78, -36, -88, 9, 9, 47, -36, 80]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for v in list_1:\n        if not stk or v >= stk[-1]:\n            stk.append(v)\n        else:\n            mx = stk.pop()\n            while stk and stk[-1] > v:\n                stk.pop()\n            stk.append(mx)\n    python_result_1 = len(stk)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-52, 87, 46, -45, -41, 89, 30, 9, 77, -80].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = -93.\nDefine task_3_energy_static = [-60, -39, -22, -4, 51, 89, -80, -55, -76, 58].\nDefine task_3_experience_static = [53, -12, 71, 88, -18, -45, 82, 9, -70, -29].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "147", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":87},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":147}]"}
{"id": "python/three_chain_target/76/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 25}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 42.\nDefine task_1_bound_static = 61.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [-48, 46, -44, -44, 91, 48, -46, -63, -9, 2].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_2), sum(nums2))\n    python_result_2 = max(s2 + f(list_2, nums2), s1 + f(nums2, list_2))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = 3.\nDefine task_3_energy_static = [59, 89, 49, 56, -63, 96, 93, 25, -83, -18].\nDefine task_3_experience_static = [28, 92, 91, 73, -19, 11, -88, -89, 27, -23].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "292", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,43,26]},{\"node_id\":\"task_2\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":74},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":292}]"}
{"id": "python/three_chain_target/76/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 96}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-81, 65, -10, 96, 55, -61, 85, 49, 48, 47].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-40, 81, 81, 76, 40, 44, 94, -10, 71, 55].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = 92.\nDefine task_3_energy_static = [34, 44, 64, -60, -30, 7, -10, -79, 85, 65].\nDefine task_3_experience_static = [-14, 24, 66, -23, 87, 0, 84, 55, 49, -10].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "40", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":81},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":40}]"}
{"id": "python/three_chain_target/76/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 76, "target_native_task_name": "minNumberOfHours:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-54, 85, 72, 82, -64, 82, 3, -34, 18, -69]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_initialExperience_static = -64.\nDefine task_3_energy_static = [71, -64, -53, 31, 47, -92, 0, -53, 94, -79].\nDefine task_3_experience_static = [-24, 24, -48, 2, 13, 60, -93, 29, 57, 59].\nTrace the execution of task_3 with inputs initialExperience = task_3_initialExperience_static, energy = task_3_energy_static, experience = task_3_experience_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_3)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_3 = energy_hours + exp_hours\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "160", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[9,1156,324,6724,4096,6724,5184,7225,2916,4761]},{\"node_id\":\"task_2\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":31},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":160}]"}
{"id": "python/three_chain_target/77/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 9}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [98, 36, -66, 55, -78, 25, -91, -6, 81, -89].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[98,36,-66,55,-78,25,-91,-6,81,-89]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[98,36,-66,-6,-78,25,-91,55,81,-89]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/77/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-16, 28, 29, -83, 3, 82, -73, 78, -68, 30]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-23, -74, 97, -60, 80, -32, -4, -4, 11, 64].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-32,-74,97,-60,80,-23,-4,-4,11,64]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/77/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 10}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-83, 18, 42, -43, -9, 6, -82, -38, -43, -86].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-55, -62, -23, 99, 46, 92, 77, -74, 32, -4].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,18,42,-43,-9,6,-83,-43,-38,-82]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-141,-45,16,53,34,96,-6,-117,-6,-86]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/77/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 69}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 51.\nDefine task_1_bound_static = 72.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,52,70]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[122,68,54]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/77/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-87, 84, 99, -81, -50, 51, -85, -2, -4, 63].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-85,-81,-50,-4,-2,51,63,84,99]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-85,-81,-50,-4,-2,51,63,84,99,-1]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/77/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 15}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -90.\nDefine task_2_bound_static = 84.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":51},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-89,52,-39]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/77/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 80}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [50, 95, -18, 70, -83, 32, 12, 72, -85, -71].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-85,-83,-71,-18,12,32,50,70,72,95]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-83,-71,-18,12,32,50,70,72,95,-1]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/77/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [58, -84, -85, -59, 72, -11, 57, 33, -43, 68]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 2.\nDefine task_2_bound_static = 90.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,3,5,9,17,33,65,4,5,7,11,19,35,67,10,11,13,17,25,41,73,28,29,31,35,43,59,82,83,85,89]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/77/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 63}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_buses_static = [27, -65, 5, -80, -89, 8, 85, -16, -81, 43].\nDefine task_1_passengers_static = [-65, 13, 98, -96, 66, -89, 86, 88, -20, -58].\nTrace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.\n```python\nfrom typing import List\ndef task_1(buses: List[int], passengers: List[int], val_1: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_1\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [5, -57, 100, -20, -97, 94, 32, 8, -3, 30].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":85},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,-57,-20,-3,5,8,30,32,94,100]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/77/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-49, 33, 64, -60, 74, 11, 1, 42, 27, 12]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = -67.\nDefine task_1_capacityB_static = 18.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [31, 100, 55, 47, 79, 30, -22, 24, 31, 5].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[24,100,47,55,79,30,-22,31,31,5]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/77/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 0}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-9, 13, -34, -72, -34, 78, -82, 23, 68, 33].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-9,13,-34,-72,-34,78,-82,23,68,33]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[7,11,10,116,222,178,182,241,150,49]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/77/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 100}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [69, 16, -78, -20, 59, 5, -81, 33, -24, 71].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [28, 85, -58, 41, 100, -48, 6, -14, -13, -56].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":165},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-58,-56,-48,-14,-13,6,28,41,85,100]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/77/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -33}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 99.\nDefine task_1_bound_static = 34.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [18, 79, -37, 88, -96, 11, 77, -20, 81, 80].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-32]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[80,81,-20,77,11,-96,88,-37,79,18,2,-32]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/77/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [87, -13, 70, -96, -29, 39, 30, -85, -2, 25]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-2,30,70,-96,-29,39,-13,-85,87,25]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[28,0,100,74,51,41,15,113,111,1]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/77/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 27}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [44, -57, -85, 70, 4, -67, 58, 94, -67, -74].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-83, 55, 61, -93, -62, -96, 71, -30, 47, -86].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":27},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-96,47,55,-93,-86,-83,61,-30,71,-62]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/77/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 77, "target_native_task_name": "minOperations:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 55}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [27, -89, 69, -82, -60, 29, -3, 31, -3, 20].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [90, -8, 78, 66, 51, 54, -14, -83, 41, -91].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    g = []\n    for x in list_3:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_3 = len(g)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-3,-89,-3,-82,-60,20,27,29,31,69]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-91,41,-83,-14,54,51,66,78,-8,90,-3,-89,-3,-82,-60,20,27,29,31,69]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/78/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-7, 41, -78, 59, -94, 22, -18, -31, 44, -98]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,1,2,1,0,1,2,1,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[153,187,150,131,96,24,28,21,8,62]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[62,8,50,28,96,24,31,21,87,53]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[4,1,2,1,0,1,2,1,0,0]}]"}
{"id": "python/three_chain_target/78/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-88, -42, 11, -74, 24, -87, 18, 91, -87, 86]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-77, -55, 25, -42, -93, -100, -90, 67, 0, 62].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,5,2,1,2,1,0,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-588},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-77,-55,25,-42,-93,-100,-90,67,0,62]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,1,5,2,1,2,1,0,1,0]}]"}
{"id": "python/three_chain_target/78/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [71, 57, -7, 35, -45, 89, -39, -1, -8, 80]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-35, -78, 100, 55, -21, 26, -95, 14, 1, 39].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,1,0,1,4,1,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-156},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-35,-78,100,55,-21,26,-95,14,1,39]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,1,0,1,4,1,2,1,0]}]"}
{"id": "python/three_chain_target/78/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-41, 97, -42, 6, -49, 9, -55, 62, 78, -87]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -29.\nDefine task_2_bound_static = 21.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,2,1,2,1,2,1,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-28,3,-27,5,-25,9,-21,17,-13]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,2,1,2,1,2,1,0,0]}]"}
{"id": "python/three_chain_target/78/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [37, 59, 39, -96, -34, 30, -49, 95, -41, -3]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 44.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,5,4,3,2,1,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,6,5,1,1,2,1,0,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[0,0,1,1,1,1,1,2,5,6]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,5,4,3,2,1,1,1,0]}]"}
{"id": "python/three_chain_target/78/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -67}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -16.\nDefine task_1_bound_static = 77.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-22, -83, 84, 65, 98, -57, 91, -21, -14, -59].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,2,1,2,1,0,1,0,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-15,-66,-83]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-59,-14,-21,91,-57,98,65,84,-83,-22,2,-15,-66]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,2,1,2,1,0,1,0,1,0]}]"}
{"id": "python/three_chain_target/78/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-49, -52, 94, -80, 91, -68, -89, 1, 65, -20]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, j) = (0, len(list_1) - 1)\n    (a, b) = (list_1[i], list_1[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_1[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_1[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_1[i], list_1[j])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [14, 1, 68, 99, 83, 50, -52, -52, 76, 39].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,1,0,4,3,2,1,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[14,1,68,99,76,50,-52,-52,83,39]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,1,0,4,3,2,1,0,0]}]"}
{"id": "python/three_chain_target/78/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-74, 39, 22, 69, 41, 57, -13, -56, 6, 56]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -13.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    list_1.sort()\n    n = len(list_1)\n    m = n >> 1\n    ans = abs(list_1[m] - k)\n    if list_1[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_1[i] <= k:\n                break\n            ans += list_1[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_1[i] >= k:\n                break\n            ans += k - list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-82, 55, -71, 63, -25, -12, 88, 32, -61, 40].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,2,1,3,1,1,0,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":106},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,55,-71,63,-25,-12,88,32,-61,40]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,2,1,3,1,1,0,2,1,0]}]"}
{"id": "python/three_chain_target/78/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [42, 83, -68, -26, -52, 29, -93, -33, -12, -13]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] > list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_1 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_1))) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [57, 89, -35, -62, 62, 20, 30, -97, 17, 81].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,8,2,1,5,1,2,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999996412},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[57,81,-35,-62,62,17,20,-97,30,89]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,8,2,1,5,1,2,1,1,0]}]"}
{"id": "python/three_chain_target/78/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [34, 92, -6, 96, -58, 46, -71, 80, 12, 53]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -32.\nDefine task_2_bound_static = 11.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[0,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-286},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-31,-85,-118]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[0,2,1,0]}]"}
{"id": "python/three_chain_target/78/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-35, 5, 46, 18, 57, 86, -48, -41, -85, 92]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,4,1,2,1,0,1,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[130,160,109,45,30,173,211,122,4,3]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,5,1,3,1,10,1,4,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,4,1,2,1,0,1,0,0,0]}]"}
{"id": "python/three_chain_target/78/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-43, -16, -72, 88, -43, 18, 67, -62, 4, 33]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_boardingCost_static = 14.\nDefine task_1_runningCost_static = -61.\nTrace the execution of task_1 with inputs boardingCost = task_1_boardingCost_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_1):\n        wait += list_1[i] if i < len(list_1) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [18, -69, 64, -95, -17, 83, -64, -90, 91, 4].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,3,1,1,3,1,1,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":30},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-17,-95,64,-90,4,83,-69,-64,91,18]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,3,1,1,3,1,1,0,0]}]"}
{"id": "python/three_chain_target/78/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 91}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [-17, -19, 58, 75, -59, 96, 98, -87, 87, 82].\nDefine task_1_capacityB_static = 52.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -13.\nDefine task_2_bound_static = 77.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,2,1,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-12,6,-8,26,12]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,2,1,0,0]}]"}
{"id": "python/three_chain_target/78/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [24, 61, 15, -16, -5, 77, -39, -47, -36, -11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 29.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    list_1.sort()\n    n = len(list_1)\n    m = n >> 1\n    ans = abs(list_1[m] - k)\n    if list_1[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_1[i] <= k:\n                break\n            ans += list_1[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_1[i] >= k:\n                break\n            ans += k - list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 7.\nDefine task_2_bound_static = 45.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":53},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,0]}]"}
{"id": "python/three_chain_target/78/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [62, 32, -57, 22, -88, -86, 84, -17, 15, 39]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    if list_1[0] <= list_1[-1]:\n        python_result_1 = list_1[0]\n        return python_result_1\n    (left, right) = (0, len(list_1) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_1[0] <= list_1[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_1 = list_1[left]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -38.\nDefine task_2_bound_static = 80.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,1,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":32},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-37,33,-6]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,0,0]}]"}
{"id": "python/three_chain_target/78/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 78, "target_native_task_name": "dailyTemperatures:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [40, 74, -67, 41, 76, 79, 65, -95, 13, 48]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_1):\n        if not stk or list_1[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_1) - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-10, 98, -57, -76, -31, 28, -46, -6, 71, -100].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    stk = []\n    n = len(list_3)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_3[stk[-1]] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,0,2,1,1,3,1,1,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-10,98,-57,-76,-31,28,-46,-6,71,-100]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,0,2,1,1,3,1,1,0,0]}]"}
{"id": "python/three_chain_target/79/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-37, 63, 54, -94, 37, -69, -29, -2, -51, 32]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [32, 22, -50, -3, 79, -21, -46, 57, -62, -82].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-9, 55, 64, 16, 12, 92, 6, 61, -69, 88].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "383", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-578},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[32,22,-50,-3,79,-21,-46,57,-62,-82]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":383}]"}
{"id": "python/three_chain_target/79/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [34, 83, 21, -12, 75, 9, -4, 83, 41, -56]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-91, 14, -52, 24, -87, -87, -39, 30, 7, 26].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "558", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[34,-56,-4,-12,75,9,21,83,41,83]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[16,144,5625,81,441,3136,1156,6889,1681,6889]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":558}]"}
{"id": "python/three_chain_target/79/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -40}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-7, 27, 10, 63, -1, -96, 57, 96, 53, 29].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-53, 88, -13, -54, -2, 59, -37, -91, -74, 16].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "609", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-7,27,10,63,-1,-96,57,96,53,29]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[27,63,63,96,57,57,96,-1,63,63]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":609}]"}
{"id": "python/three_chain_target/79/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-30, -24, 43, -89, -36, 12, -65, 53, -92, 3]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] > list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_1 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_1))) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -34.\nDefine task_2_bound_static = 89.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [60, -54, -30, -82, -76, 26, -76, -52, 32, 88].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "158", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999996082},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-33,83,48]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":158}]"}
{"id": "python/three_chain_target/79/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-54, 76, -63, 36, -23, -71, -4, 26, -20, 66]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_1[j] * (j - i)\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-2, -55, 10, 9, -22, 93, 3, 77, -87, 78].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-16, 4, 13, 74, 19, -11, -11, -46, 0, -72].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "272", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":604},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-2,-55,9,10,-22,93,3,77,-87,78]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":272}]"}
{"id": "python/three_chain_target/79/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [49, -60, 40, -26, -59, 4, -21, -1, 24, 34]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    k = 3\n    n = len(list_1)\n    ans = cnt = 0\n    for i in range(n << 1):\n        if i and list_1[i % n] == list_1[(i - 1) % n]:\n            cnt = 1\n        else:\n            cnt += 1\n        ans += i >= n and cnt >= k\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 38.\nDefine task_2_bound_static = 63.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-12, -59, -24, 54, 98, 71, -7, -62, 50, 30].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "286", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,39,11,48]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":286}]"}
{"id": "python/three_chain_target/79/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [78, 95, 34, -66, 36, 43, 66, -48, 27, -80]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -3.\nDefine task_2_bound_static = 28.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [18, 17, -15, -100, -51, 70, 9, 69, 31, 46].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "249", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-2,10,-26,5,1,13,-23,17,13,25,-11]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":249}]"}
{"id": "python/three_chain_target/79/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [0, 34, -97, -91, -40, -5, -39, 69, 25, -77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [58, 23, -88, 67, -95, 76, -19, 81, 64, 67].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "356", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[0,34,-40,-91,-97,-5,-39,69,25,-77]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,7,3,2,1,5,1,10,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":356}]"}
{"id": "python/three_chain_target/79/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 67}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 26.\nDefine task_1_bound_static = 56.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [67, -22, 71, 58, 64, 53, 82, 88, -48, 67].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "502", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,27]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,0]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":502}]"}
{"id": "python/three_chain_target/79/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 13.\nDefine task_1_energy_static = [-46, 41, 11, -50, 84, 5, -48, 18, 96, 55].\nDefine task_1_experience_static = [22, -20, 22, -44, -55, 81, -46, -80, 21, 88].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [7, 39, 83, 2, -4, 24, 39, 75, -39, -15].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [28, -99, -93, -69, 68, -21, -36, 41, -76, -64].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "278", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":380},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-39,-15,-4,2,7,24,39,39,75,83]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":278}]"}
{"id": "python/three_chain_target/79/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-90, 24, -89, -81, -38, 96, 29, 68, 94, -81].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-1, -38, -13, 41, 20, 83, 46, -71, -47, -38].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-10, -30, -70, -84, 41, 45, 50, 87, 74, -51].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "186", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":287},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-71,-47,-38,-38,-13,-1,20,41,46,83]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":186}]"}
{"id": "python/three_chain_target/79/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [62, -57, 77, -42, -68, -7, 33, -77, -34, 22]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-41, 75, 24, -31, -65, -69, 35, 81, 59, 94].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "516", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[62,10,10,-42,-42,-7,-7,-34,-34,22]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[49,49,1764,1764,100,100,1156,1156,484,3844]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":516}]"}
{"id": "python/three_chain_target/79/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-11, 15, -97, -85, -44, -74, 51, 83, -24, 39]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_1 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-62, -9, -87, -25, 81, -82, -77, -64, 49, 75].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-52, 81, -93, -8, -41, 76, -45, -88, 40, 30].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "26", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":18},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-25,-82,-9,75,-77,-64,-62,49,81]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":26}]"}
{"id": "python/three_chain_target/79/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [96, 36, -39, -88, -72, -58, 85, -29, -49, 25]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_initialEnergy_static = -90.\nDefine task_1_initialExperience_static = 66.\nDefine task_1_experience_static = [96, 46, -89, 40, 4, 71, 46, 9, 59, 96].\nTrace the execution of task_1 with inputs initialEnergy = task_1_initialEnergy_static, initialExperience = task_1_initialExperience_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(initialEnergy: int, initialExperience: int, list_1: List[int], experience: List[int]) -> int:\n    sum_energy = sum(list_1)\n    energy_hours = max(0, sum_energy + 1 - initialEnergy)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [46, -29, -94, -51, 99, 5, -62, -35, 91, -25].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [12, 23, 41, 34, -26, -25, 48, -92, 82, -31].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "250", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":31},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[46,-62,-94,-51,91,-35,-29,-25,99,5]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":250}]"}
{"id": "python/three_chain_target/79/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-72, -63, 82, 0, 3, -82, -96, -41, 29, 53]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_trainers_static = [-20, -74, -90, -86, -28, 61, -71, -85, -47, -65].\nTrace the execution of task_1 with inputs trainers = task_1_trainers_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], trainers: List[int]) -> int:\n    list_1.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_1):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_1 = i\n            return python_result_1\n        j += 1\n    python_result_1 = len(list_1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [65, -3, 99, 95, 72, -31, 20, 56, 9, -98].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [100, -4, 99, -97, 0, 21, 92, -84, 1, -75].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "408", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[65,-3,95,99,72,-31,20,56,9,-98]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":408}]"}
{"id": "python/three_chain_target/79/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 79, "target_native_task_name": "maximumsSplicedArray:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -95}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-92, 66, 52, 47, -51, -79, 28, -39, -45, -96].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_nums2_static = [-11, -14, 19, 80, -56, -9, 39, 58, 72, -47].\nTrace the execution of task_3 with inputs nums2 = task_3_nums2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_3), sum(nums2))\n    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "257", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-92,66,52,47,-51,-79,28,-39,-45,-96]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-92,66,52,-96,28,-79,-51,-39,-45,47]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":257}]"}
{"id": "python/three_chain_target/80/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [75, -77, 84, -6, -13, -98, 21, 70, 36, 87]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[84,84,87,21,21,21,70,87,87,-1]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,2,10,3,3,3,4,10,10,1]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/80/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -21}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [41, 28, 84, -60, 27, 90, -15, 41, -72, -48].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 69.\nDefine task_2_bound_static = 17.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,7]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/80/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 42}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = 50.\nDefine task_1_energy_static = [37, 63, -1, -76, -81, -52, 32, -83, 18, 23].\nDefine task_1_experience_static = [45, -85, 85, -34, -65, 73, 68, -82, 27, -91].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-41, -18, -58, 56, -38, 39, 37, -63, 2, 26].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":78},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-63,-58,-41,-38,-18,2,26,37,39,56]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/80/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -22}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [13, -39, -88, -94, 55, 5, -28, -3, -100, -7].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[13,-39,-88,-94,55,5,-28,-3,-100,-7]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[0,-28,-88,-94,55,5,-39,-3,13,-7]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/80/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [49, 27, -54, -82, -78, -68, -59, 32, -46, -23]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/80/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 7}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [93, -17, 86, -81, 82, -24, -25, 61, -22, 44].\nDefine task_1_capacityB_static = -39.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [11, -7, -14, 33, -17, 23, -37, 51, -94, -98].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[11,-17,-14,33,-7,23,-37,51,-98,-94]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/80/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [40, 11, -58, -81, 55, 61, -96, -60, 52, 62]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[55,55,55,55,61,62,-60,52,62,-1]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[62,52,-60,62,61,55,55,55,55,-1]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/80/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-67, 83, 27, -90, -31, -35, -62, 4, 88, -62]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, j) = (0, len(list_1) - 1)\n    (a, b) = (list_1[i], list_1[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_1[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_1[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_1[i], list_1[j])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-95, 35, -5, -96, -73, -94, -26, -49, 35, -72].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-96,35,-5,-95,-73,-94,-26,-49,35,-72]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/80/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -67}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [66, -65, -87, -9, -62, -57, -54, 11, -7, -23].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[66,-65,-87,-9,-62,-57,-54,11,-7,-23]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/80/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [28, 71, 46, 38, 69, 33, 1, -78, 5, 92]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [77, -71, 12, -65, -14, 56, 42, -100, 31, -29].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[77,-71,12,-65,-14,56,42,-100,31,-29]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/80/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 33}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-37, -19, 58, -75, -88, -22, 24, 0, -92, 19].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-37,-22,58,-92,-88,-19,0,19,-75,24]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,10,1,2,3,4,6,1,7]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/80/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-66, 78, -52, -65, -54, -59, -8, -64, 22, -65]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-21, -92, 83, -15, 71, 25, -37, -6, 74, 38].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-21,-92,83,-15,71,25,-37,-6,74,38]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/80/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [20, 36, 83, -32, -15, 26, -26, 62, -70, -4]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 55.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[20,36,36,-15,-15,0,0,0,-4,-4]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-15,-15,-4,-4,0,0,0,20,36,36]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/80/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-64, 26, -89, -67, -88, -55, 46, 49, 18, 25]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_1)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_1[0]\n    for (i, v) in enumerate(list_1):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -97.\nDefine task_2_bound_static = 71.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":6127},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-96,28,-70]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/80/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-82, -95, 21, 56, 5, 47, 62, -72, -56, 82]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_1[0] > 0)\n    g[0] = int(list_1[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_1[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_1[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-14, 64, 17, -13, 93, 95, -96, -91, 45, 3].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-14,64,17,-13,93,95,-96,-91,45,3]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/80/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 80, "target_native_task_name": "distinctPrimeFactors:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 15}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -30.\nDefine task_1_bound_static = 13.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    s = set()\n    for n in list_3:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_3 = len(s)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-29]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[29,2]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/81/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -61}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [50, -95, 77, 38, -5, 96, -96, 29, 48, 93].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[50,-95,77,38,-5,96,-96,29,48,93]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,3,2,1,0,1,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/81/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -48}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 55.\nDefine task_1_bound_static = 89.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,56,-47,7]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[2,56,7]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/81/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [58, 8, -47, -10, 61, -77, -14, 80, -41, 64]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[58,8,-10,-10,-10,-14,-14,19,20,64]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/81/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 92}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [17, -22, 90, -82, 23, -20, 66, 18, -42, 89].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 20.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,-42,-22,-20,17,18,23,66,89,90]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-82,-42,-22,-20,17,18,23,66,89,90]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/81/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-55, -96, 91, 76, -22, -27, 79, -69, 56, 86]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [26, -43, -19, 59, 25, 36, -41, -62, -97, 92].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[25,-43,-19,59,26,36,-41,-62,-97,92]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/81/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [33, -44, -45, 22, 3, -55, 37, 17, -33, -17]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -34.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    mx = max(list_1)\n    n = len(list_1)\n    ans = cnt = j = 0\n    for x in list_1:\n        while j < n and cnt < k:\n            cnt += list_1[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 4.\nDefine task_2_bound_static = 8.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,5]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/81/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -34}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-85, 95, 30, 3, -78, -61, 67, 11, 75, 51].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    n = len(list_2)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-85,95,30,3,-78,-61,67,11,75,51]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,0,4,3,1,1,2,1,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/81/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -12}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-41, 93, 21, 79, 16, -32, -41, 32, 33, 56].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-21},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-41,93,21,79,16,-32,-41,32,33,56]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/81/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -79.\nDefine task_1_bound_static = 62.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-78,-30,-110]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-78,-30,-10]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/81/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 36}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [9, -17, 47, -98, 75, -90, -22, -100, 52, 87].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -73.\nDefine task_2_bound_static = 15.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-72,11,-63]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/81/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-82, -86, -34, -17, -57, -51, -72, -91, 28, -52]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -71.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,1,3,1,2,2,1,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[2,1,1,3,1,2,2,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/81/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -11}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-40, 33, -74, 67, 75, 78, 60, -95, 40, -52].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-79, 98, 95, 12, -1, -10, 78, -76, 52, -1].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":95},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-79,-76,-10,-1,-1,12,52,78,95,98]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/81/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [16, 83, -94, -35, 68, -16, 26, 40, -44, -75]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_1 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -62.\nDefine task_2_bound_static = 43.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":18},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-61,19,-44]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/81/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 62}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [83, -29, 86, -39, 1, -92, -86, -23, 1, 9].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":59},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[83,-92,86,-86,-39,-29,-23,1,1,9]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/81/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [54, 93, 0, 97, -7, 99, -24, -55, 19, 85]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 96.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-55,-24,-7,0,19,54,85,93,97,99]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/81/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 81, "target_native_task_name": "getMaxLen:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-10, 25, -93, 13, 6, -41, -31, -75, 72, -45]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    list_1.sort()\n    n = len(list_1)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[i] % list_1[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_1[k] % list_1[i] == 0 and f[i] == m:\n            ans.append(list_1[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    n = len(list_3)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_3[0] > 0)\n    g[0] = int(list_3[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_3[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_3[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[72,6]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[72,6]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/82/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 28}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [37, 68, 42, -15, -72, -31, 24, -16, 81, -96].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_2[j] < list_2[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_2[j] > list_2[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = -11.\nDefine task_3_bound_static = 74.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,-10,8,-4,50,38]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[24,37,42,-31,-96,-16,68,-15,81,-72]},{\"node_id\":\"task_2\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-10,8,-4,50,38]}]"}
{"id": "python/three_chain_target/82/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [86, 43, 22, -75, -58, 24, -65, -83, -3, -33]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-12, -6, 76, 97, -2, 67, 94, -100, -37, -52].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> int:\n    n = len(list_2)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_2[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_2[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_2 = m\n                return python_result_2\n    python_result_2 = max((f[i][i] + (list_2[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = -56.\nDefine task_3_bound_static = 42.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,-55,4,-53,10,-47,28,-29]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[86,43,22,-58,-58,-58,-65,-65,-33,-33]},{\"node_id\":\"task_2\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-55,4,-53,10,-47,28,-29]}]"}
{"id": "python/three_chain_target/82/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [26, -43, 46, 58, -17, 16, 42, 54, -99, -94]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_target_static = 23.\nTrace the execution of task_1 with inputs target = task_1_target_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], target: int) -> int:\n    list_1.sort()\n    (ans, n) = (0, len(list_1))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_1[i] + list_1[j] + list_1[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [59, -7, -81, 33, 86, -36, -56, -75, 60, 41].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = 3.\nDefine task_3_bound_static = 59.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,4,10,28]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":73},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":86},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,4,10,28]}]"}
{"id": "python/three_chain_target/82/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-58, -57, -69, -29, -19, -48, -80, -3, -16, -54]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [-65, -78, 15, 83, -38, -43, -14, -27, -23, -92].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_2), sum(nums2))\n    python_result_2 = max(s2 + f(list_2, nums2), s1 + f(nums2, list_2))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = -86.\nDefine task_3_bound_static = 15.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,-85]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[375,260,134,36,12,79,207,290,309,379]},{\"node_id\":\"task_2\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":528},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-85]}]"}
{"id": "python/three_chain_target/82/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -69}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-51, -66, 44, -51, 62, -38, -49, -3, 35, -94].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = -59.\nDefine task_3_bound_static = 91.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,-58,63,3]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-69},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":62},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-58,63,3]}]"}
{"id": "python/three_chain_target/82/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 9}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_1:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_1:\n        ans += 1\n        s += k\n        k += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_2:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_2:\n        ans += 1\n        s += k\n        k += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = 29.\nDefine task_3_bound_static = 11.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,6]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,6]}]"}
{"id": "python/three_chain_target/82/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 40}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [49, -45, -4, 99, 80, -77, 64, -39, 55, 57].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (i, n) = (0, len(list_2))\n    while i + 1 < n and list_2[i] < list_2[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_2 = n * (n + 1) // 2\n        return python_result_2\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_2[i] >= list_2[j]:\n            i -= 1\n        ans += i + 2\n        if list_2[j - 1] >= list_2[j]:\n            break\n        j -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = 61.\nDefine task_3_bound_static = 38.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,8]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[49,-77,-45,55,57,-39,64,-4,80,99]},{\"node_id\":\"task_2\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8]}]"}
{"id": "python/three_chain_target/82/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [73, 25, 21, -2, 59, 64, 68, -12, 61, -12]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_2[j] < list_2[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_2[j] > list_2[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = -47.\nDefine task_3_bound_static = 72.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,-46,5,-43,17,-31,65,17]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,59,59,59,64,68,73,61,73,73]},{\"node_id\":\"task_2\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-46,5,-43,17,-31,65,17]}]"}
{"id": "python/three_chain_target/82/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 2}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 20.\nDefine task_1_bound_static = 43.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (i, n) = (0, len(list_2))\n    while i + 1 < n and list_2[i] < list_2[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_2 = n * (n + 1) // 2\n        return python_result_2\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_2[i] >= list_2[j]:\n            i -= 1\n        ans += i + 2\n        if list_2[j - 1] >= list_2[j]:\n            break\n        j -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = 31.\nDefine task_3_bound_static = 95.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,32,9,39,65,95]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,21,3,22,5,24,9,28,17,36,33]},{\"node_id\":\"task_2\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,32,9,39,65,95]}]"}
{"id": "python/three_chain_target/82/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -95}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-46, -9, 36, 12, -41, 93, -64, 17, -37, -92].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_2)\n    list_2.sort()\n    idx = {v: i for (i, v) in enumerate(list_2)}\n    f = [1] * n\n    for (i, a) in enumerate(list_2):\n        for j in range(i):\n            b = list_2[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_2 = sum(f) % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = 18.\nDefine task_3_bound_static = 95.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,19,11,28]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-46,-9,36,12,-41,93,-64,17,-37,-92]},{\"node_id\":\"task_2\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,19,11,28]}]"}
{"id": "python/three_chain_target/82/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [68, 83, -79, -77, -59, 19, 79, -20, -79, 96]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_2:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = -31.\nDefine task_3_bound_static = 91.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,-30,12,-20]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[68,96,-20,-77,-59,19,79,-79,-79,83]},{\"node_id\":\"task_2\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":11},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-30,12,-20]}]"}
{"id": "python/three_chain_target/82/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-75, 0, 59, 84, 33, 34, -3, -66, 6, 94]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_tokens_static = [29, 71, 88, -36, -10, -16, -59, -48, -57, -71].\nTrace the execution of task_2 with inputs tokens = task_2_tokens_static.\n```python\nfrom typing import List\ndef task_2(tokens: List[int], val_2: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_2 >= tokens[i]:\n            val_2 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_2 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = 84.\nDefine task_3_bound_static = 72.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,11]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-67},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,11]}]"}
{"id": "python/three_chain_target/82/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -77}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-11, -24, -93, -38, 40, 9, -20, 85, 63, -74].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_initialExperience_static = -5.\nDefine task_2_energy_static = [35, -81, -39, -45, -97, -26, 16, -10, 73, -70].\nDefine task_2_experience_static = [-72, 85, 71, 90, -66, -99, 51, -39, 65, 26].\nTrace the execution of task_2 with inputs initialExperience = task_2_initialExperience_static, energy = task_2_energy_static, experience = task_2_experience_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_2)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_2 = energy_hours + exp_hours\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = 57.\nDefine task_3_bound_static = 68.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,58,64]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":85},{\"node_id\":\"task_2\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":163},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,58,64]}]"}
{"id": "python/three_chain_target/82/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-2, 80, 0, -17, 48, 55, 94, -59, 5, 61]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] >= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_2:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_2 = 0\n            return python_result_2\n        y = val_2 % 10\n        if val_2 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_2 = (val_2 - y) // 10\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = 92.\nDefine task_3_bound_static = 29.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,13]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":21},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":12},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,13]}]"}
{"id": "python/three_chain_target/82/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -47}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 58.\nDefine task_1_bound_static = 10.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    f = [1] * n\n    cnt = [1] * n\n    mx = 0\n    for i in range(n):\n        for j in range(i):\n            if list_2[j] < list_2[i]:\n                if f[i] < f[j] + 1:\n                    f[i] = f[j] + 1\n                    cnt[i] = cnt[j]\n                elif f[i] == f[j] + 1:\n                    cnt[i] += cnt[j]\n        if mx < f[i]:\n            mx = f[i]\n            ans = cnt[i]\n        elif mx == f[i]:\n            ans += cnt[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = -35.\nDefine task_3_bound_static = 98.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,-34,3,-33,5,-31,9,-27,17,-19,33,-3,65,29]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-46]},{\"node_id\":\"task_2\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-34,3,-33,5,-31,9,-27,17,-19,33,-3,65,29]}]"}
{"id": "python/three_chain_target/82/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 82, "target_native_task_name": "powerfulIntegers:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [82, -34, -81, 98, 10, 98, -62, -36, -40, 93]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        if list_1[i] > list_1[i - 1]:\n            f[i] = f[i - 1] + 1\n    ans = 0\n    for i in range(n - 2, -1, -1):\n        if list_1[i] > list_1[i + 1]:\n            g[i] = g[i + 1] + 1\n            if f[i] > 1:\n                ans = max(ans, f[i] + g[i] - 1)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [12, -23, -52, -99, 12, 63, 74, -58, 28, -75].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_y_static = 65.\nDefine task_3_bound_static = 36.\nTrace the execution of task_3 with inputs y = task_3_y_static, bound = task_3_bound_static.\n```python\nfrom typing import List\ndef task_3(val_3: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_3 == 1:\n            break\n        a *= val_3\n    python_result_3 = list(ans)\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,4,10,28]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,4,10,28]}]"}
{"id": "python/three_chain_target/83/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-79, -90, -24, 4, 97, -34, -34, -21, -90, -39]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "219", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-24,-24,4,97,-1,-21,-21,4,-39,-24]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,9409,16,441,441,16,576,576,1521,576]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":219}]"}
{"id": "python/three_chain_target/83/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-52, 3, -90, 30, 5, 30, -91, 12, 34, 7].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4141", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-99},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-52,3,-90,30,5,30,-91,12,34,7]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":4141}]"}
{"id": "python/three_chain_target/83/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 49}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [48, 31, -58, 28, -72, 13, -21, 45, -82, -58].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7905", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":94},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,-72,-58,-58,-21,13,28,31,45,48]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":7905}]"}
{"id": "python/three_chain_target/83/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-39, -31, -16, -37, -72, 19, -7, 13, -1, 34]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_1))\n    while i < n:\n        j = i + 1\n        while j < n and list_1[j - 1] - list_1[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [3, -17, -74, -25, 73, -44, -62, 77, -27, 20].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4748", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[3,-27,-74,-25,73,-44,-62,77,-17,20]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":4748}]"}
{"id": "python/three_chain_target/83/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-18, -76, 87, -53, 98, -11, 19, -19, 30, 65]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = -6.\nDefine task_1_capacityB_static = -12.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [84, -84, 36, -35, -70, -72, 60, -67, 38, 57].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10766", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[84,-84,36,-35,-72,-70,57,-67,38,60]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":10766}]"}
{"id": "python/three_chain_target/83/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -41}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [-100, 48, -59, -88, -42, -72, 83, -32, -73, 13].\nDefine task_1_capacityB_static = -93.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -10.\nDefine task_2_bound_static = 3.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "36", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-9]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":36}]"}
{"id": "python/three_chain_target/83/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-44, 46, 100, -40, 79, -65, 69, -35, -89, 6]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = 5.\nDefine task_1_capacityB_static = -1.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [11, -51, -91, -57, -78, -15, -26, -44, -56, 70].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8708", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[11,-51,-91,-57,-78,-15,-26,-44,-56,70]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":8708}]"}
{"id": "python/three_chain_target/83/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -18}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [36, -81, -18, -12, -82, 33, 48, -7, -30, -73].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -89.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5949", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[36,-81,-18,-12,-82,33,48,-7,-30,-73]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[36,-81,-18,-12,-82,33,48,-7,-30,-73]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":5949}]"}
{"id": "python/three_chain_target/83/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-97, 20, -8, 35, 69, -44, -68, 58, -98, -98]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_1[j] > list_1[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-70, 74, 22, 12, 97, 87, -80, -90, 88, -95].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8470", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-70,74,22,12,97,87,-80,-95,88,-90]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":8470}]"}
{"id": "python/three_chain_target/83/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -75}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-87, 86, 13, -75, 53, 92, -20, -74, -6, -92].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [54, 34, -55, 95, 28, 53, 84, 51, 38, 60].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "1982", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":92},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-55,28,34,38,51,53,54,60,84,95]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":1982}]"}
{"id": "python/three_chain_target/83/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [64, 87, 37, 44, -31, -94, -65, 38, 45, -84]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_1)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_1[0]\n    for (i, v) in enumerate(list_1):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-25, 90, 17, 42, -99, 90, 40, 63, -44, 90].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6526", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":7857},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-44,-25,17,40,42,63,90,90,90]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":6526}]"}
{"id": "python/three_chain_target/83/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [37, -47, -88, 94, 94, 70, -49, -79, 39, 73]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_1))\n    while i < n:\n        j = i + 1\n        while j < n and list_1[j - 1] - list_1[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-84, -59, 35, 11, 84, 8, 31, -67, -70, 86].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7494", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-84,-70,31,8,84,11,35,-67,-59,86]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":7494}]"}
{"id": "python/three_chain_target/83/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 14}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [47, 11, 97, -43, -20, -73, -77, -8, -36, -94].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-10, 56, -34, 16, -11, 13, 4, -63, 81, -79].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3081", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":14},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-11,56,-34,-10,4,13,16,-63,81,-79]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":3081}]"}
{"id": "python/three_chain_target/83/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-30, -43, 95, 12, -23, 80, 8, -46, 78, 77]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_1 = sum((f(x) for x in list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-78, -79, -87, 10, -34, -66, -94, 51, -33, -21].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "13480", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":231},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-87,-79,-34,-33,-78,-66,51,-21,10]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":13480}]"}
{"id": "python/three_chain_target/83/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [73, -91, 4, -99, -81, -1, -44, -66, -1, -23]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] < x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    t = 1\n    for (i, x) in enumerate(list_1[1:]):\n        if list_1[i] > x:\n            t += 1\n            ans = max(ans, t)\n        else:\n            t = 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-84, -44, 12, -38, -55, 63, 9, -46, -15, 57].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6079", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-84,-46,9,-38,-55,63,12,-44,-15,57]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":6079}]"}
{"id": "python/three_chain_target/83/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 83, "target_native_task_name": "maximumBooks:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [69, -54, -30, 19, 14, -90, -79, 80, -85, -40]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (l, r) = (0, len(list_1) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_1[l], list_1[r]) * (r - l)\n        ans = max(ans, t)\n        if list_1[l] < list_1[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -15.\nDefine task_2_bound_static = 10.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> int:\n    nums = [v - i for (i, v) in enumerate(list_3)]\n    n = len(nums)\n    left = [-1] * n\n    stk = []\n    for (i, v) in enumerate(nums):\n        while stk and nums[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    ans = 0\n    dp = [0] * n\n    dp[0] = list_3[0]\n    for (i, v) in enumerate(list_3):\n        j = left[i]\n        cnt = min(v, i - j)\n        u = v - cnt + 1\n        s = (u + v) * cnt // 2\n        dp[i] = s + (0 if j == -1 else dp[j])\n        ans = max(ans, dp[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "91", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":483},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-14]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":91}]"}
{"id": "python/three_chain_target/84/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-65, -42, 46, 61, 87, 80, 1, -5, 27, -6]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -82.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    list_1.sort()\n    n = len(list_1)\n    m = n >> 1\n    ans = abs(list_1[m] - k)\n    if list_1[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_1[i] <= k:\n                break\n            ans += list_1[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_1[i] >= k:\n                break\n            ans += k - list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -80.\nDefine task_2_bound_static = 95.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[3,3,5,5,9,9,17,17,-1,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":402},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-79,3,-78,5,-76,9,-72,17,-64,33,-48,65,-16]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[3,3,5,5,9,9,17,17,-1,2]}]"}
{"id": "python/three_chain_target/84/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [36, -42, 70, -99, 50, 59, -34, -5, 33, 57]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    s = set()\n    for n in list_1:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_1 = len(s)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-7, -89, 6, 2, 11, 73, -8, 96, 22, 19].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,2,6,11,73,96,96,-1,22,73]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-8,-89,2,6,11,73,-7,96,19,22]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[2,2,6,11,73,96,96,-1,22,73]}]"}
{"id": "python/three_chain_target/84/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-71, -45, -14, -94, -72, -81, 66, 71, 9, 57]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = 0\n    (i, n) = (0, len(list_1))\n    while i < n:\n        j = i + 1\n        while j < n and list_1[j - 1] - list_1[j] == 1:\n            j += 1\n        cnt = j - i\n        ans += (1 + cnt) * cnt // 2\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [27, 36, 81, -94, -2, 58, -32, 97, 43, 33].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[33,81,97,-2,58,97,97,-1,43,81]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[27,33,81,-94,-2,58,-32,97,36,43]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[33,81,97,-2,58,97,97,-1,43,81]}]"}
{"id": "python/three_chain_target/84/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -61}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [50, 15, 69, -15, -47, -31, 39, -74, 42, 50].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -3.\nDefine task_2_bound_static = 79.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[10,10,11,3,11,11,-1,5,10,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-2,10,-26,3,-1,11,-25,5,1,13,-23,9,5,17,-19,17,13,25,-11,33,29,41,5,65,61,73,37]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[10,10,11,3,11,11,-1,5,10,2]}]"}
{"id": "python/three_chain_target/84/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -50}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -6.\nDefine task_1_bound_static = 10.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-2,0,2,4,6,-1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-5,-49,-56,-14,-266]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-4,-2,0,2,4,6]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-2,0,2,4,6,-1]}]"}
{"id": "python/three_chain_target/84/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-40, -75, -62, -2, -49, -9, 86, -60, 36, -97]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_warehouse_static = [-55, 72, -93, 46, -66, 33, -20, -57, 21, 15].\nTrace the execution of task_1 with inputs warehouse = task_1_warehouse_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_1.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_1):\n        while j >= 0 and left[j] < list_1[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [41, 2, -15, 91, -85, -76, 18, -14, -74, -1].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[91,91,91,-1,-76,18,41,2,2,41]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[41,-1,-15,91,-85,-76,18,-14,-74,2]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[91,91,91,-1,-76,18,41,2,2,41]}]"}
{"id": "python/three_chain_target/84/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -64}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 67.\nDefine task_1_bound_static = 92.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,-1,2,4]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,68,-63,3]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,4,1,2]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[4,-1,2,4]}]"}
{"id": "python/three_chain_target/84/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -64}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [59, 93, -94, -98, 70, -18, 28, -62, -2, -49].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-25, 88, -57, -47, -86, 51, 69, 39, 15, -50].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-57,-50,-47,-25,15,39,51,69,88,-1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":42},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,-57,-50,-47,-25,15,39,51,69,88]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-57,-50,-47,-25,15,39,51,69,88,-1]}]"}
{"id": "python/three_chain_target/84/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 90}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [83, 21, -15, 48, -60, -61, -75, -42, -64, 22].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [82, -92, -55, -67, 80, -4, 49, -41, 79, -82].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[5,5,36,-16,36,36,68,68,-1,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-75,-64,-61,-60,-42,-15,21,22,48,83]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,5,-156,-116,-128,36,-20,68,-20,125,1]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[5,5,36,-16,36,36,68,68,-1,1]}]"}
{"id": "python/three_chain_target/84/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [39, -40, 21, -10, 81, 5, 3, 84, -49, -30]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (l, r) = (0, len(list_1) - 1)\n    ans = 0\n    while l < r:\n        t = min(list_1[l], list_1[r]) * (r - l)\n        ans = max(ans, t)\n        if list_1[l] < list_1[r]:\n            l += 1\n        else:\n            r -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-92, 12, 72, 35, 97, -82, -86, 30, 20, 17].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[12,17,20,30,35,-82,35,72,97,-1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":273},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-92,12,17,20,30,-86,-82,35,72,97]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[12,17,20,30,35,-82,35,72,97,-1]}]"}
{"id": "python/three_chain_target/84/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -37}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -12.\nDefine task_1_bound_static = 75.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 41.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-36,-11,2,-1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-11,-36,-49]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-49,-36,-11,2]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-36,-11,2,-1]}]"}
{"id": "python/three_chain_target/84/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -32}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [88, -25, 95, 86, -7, 72, 28, -81, -47, -57].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [21, -68, 21, 57, 15, -54, -15, 99, 3, 56].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[7,7,13,13,40,-1,15,16,16,40]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[88,-25,95,86,-7,72,28,-81,-47,-57]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,107,-94,113,140,5,15,10,16,-43,1]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[7,7,13,13,40,-1,15,16,16,40]}]"}
{"id": "python/three_chain_target/84/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [97, -13, -57, -31, -100, 59, -89, 35, 81, 95]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_warehouse_static = [-22, 31, 2, -18, -15, -45, -75, 24, -70, -57].\nTrace the execution of task_1 with inputs warehouse = task_1_warehouse_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_1.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_1):\n        while j >= 0 and left[j] < list_1[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -56.\nDefine task_2_bound_static = 50.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,4,10,10,28,28,-1,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-55,4,-53,10,-47,28,-29]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[4,4,10,10,28,28,-1,2]}]"}
{"id": "python/three_chain_target/84/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_1:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_1:\n        ans += 1\n        s += k\n        k += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [98, 85, 88, 35, 64, -41, -91, 57, -23, -81].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[88,98,-1,57,64,64,64,85,85,85]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":15},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[85,88,98,35,57,-41,-91,64,-23,-81]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[88,98,-1,57,64,64,64,85,85,85]}]"}
{"id": "python/three_chain_target/84/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [12, -67, -97, 94, 64, 64, -55, 81, 99, -59]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -23.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    if list_1[0] > k:\n        python_result_1 = k\n        return python_result_1\n    (left, right) = (0, len(list_1))\n    while left < right:\n        mid = left + right >> 1\n        if list_1[mid] - mid - 1 >= k:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = list_1[left - 1] + k - (list_1[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [44, -74, -18, -15, 3, -99, 5, 77, -72, 71].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[77,-18,-15,3,5,5,77,-1,71,77]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-23},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[44,-74,-18,-15,3,-99,5,77,-72,71]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[77,-18,-15,3,5,5,77,-1,71,77]}]"}
{"id": "python/three_chain_target/84/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 84, "target_native_task_name": "nextGreaterElements:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-20, -8, 95, 11, 40, 34, 45, -43, 8, -49]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -21.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    n = len(list_3)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_3[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_3[i])\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[2,10,-1,3,7,7,10,3,10,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,10,1,3,1,7,1,3,1]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[1,2,10,1,3,1,7,1,3,1]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[2,10,-1,3,7,7,10,3,10,2]}]"}
{"id": "python/three_chain_target/85/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-23, 9, 0, -63, -4, 63, -42, -57, -45, -52]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_1, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_1[i]:\n            right[i] = right[i + 1] + 1\n    python_result_1 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [19, -1, -35, 28, -55, -59, 42, 88, -67, 67].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = 98.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[19,-1,-35,28,-67,-59,42,88,-55,67]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/85/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [6, 50, -71, -1, -29, 40, 68, 47, 26, -8]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = j = 0\n    for i in range(1, len(list_1) - 1):\n        if list_1[i] == list_1[i + 1]:\n            continue\n        if list_1[i] > list_1[j] and list_1[i] > list_1[i + 1]:\n            ans += 1\n        if list_1[i] < list_1[j] and list_1[i] < list_1[i + 1]:\n            ans += 1\n        j = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-71, 39, -74, 79, -74, -69, -33, 15, -7, -61].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = -31.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-74,39,-74,79,-71,-69,-33,15,-7,-61]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/85/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-88, -5, 80, -49, 62, -80, 4, -54, -60, -43]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [63, -14, -81, -71, -40, 82, -83, -55, 1, 0].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = 93.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-88,-5,-54,-60,-43]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,61,-14,-81,-71,-40,-6,-88,-109,-59,-43]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/85/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [13, -61, -28, -7, -58, -34, 24, -15, 68, -4]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_1):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-93, -2, -48, -20, 26, -5, 14, 29, 15, 8].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = -58.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-93,-5,-48,-20,26,-2,14,29,15,8]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/85/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 23}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [74, 35, -67, 16, 44, 17, 91, -24, 93, -87].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_1 == 1:\n        python_result_1 = ans % mod\n        return python_result_1\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)\n    python_result_1 = ans % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [73, 19, 25, 62, -47, -97, 88, 22, -52, 83].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = -19.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":4503},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[73,19,22,62,-47,-97,88,25,-52,83]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":7}]"}
{"id": "python/three_chain_target/85/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [68, 89, -76, -48, 12, -53, 40, -85, -32, 78]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_1[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_1[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_1[i] += 1\n                f = True\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [8, 37, 30, 37, -32, -24, -82, -31, 45, 62].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = 50.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[68,68,-48,-48,-21,-20,-20,-32,-32,78]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[62,45,-31,-82,-24,-32,37,30,8,68,68,-48,-48,-21,-20,-20,78]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/85/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -62}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_initialExperience_static = -99.\nDefine task_1_energy_static = [-21, 56, 72, 39, -100, -94, 50, 68, -23, -53].\nDefine task_1_experience_static = [-55, 60, 67, 82, -29, 44, 4, -46, -13, -10].\nTrace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_1)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_1 = energy_hours + exp_hours\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 11.\nDefine task_2_bound_static = 45.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = 41.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":272},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,12]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/85/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [39, 96, 40, -73, -78, -54, 45, -62, -100, -62]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = 80.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,0,4,2,1,1,0,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[0,0,4,2,0,0,1,1,1,1]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/85/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-13, 93, 91, 27, -85, -13, -45, 16, 44, -46].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = 46.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-38},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-13,93,91,27,-85,-13,-45,16,44,-46]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/85/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 39}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-80, 81, 21, -90, 41, -75, -41, -48, -33, 2].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -10.\nDefine task_2_bound_static = 27.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = 100.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":49},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-9]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/85/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [86, 62, 17, 28, 49, 43, -80, -64, 33, 6]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_capacityA_static = 57.\nDefine task_1_capacityB_static = 65.\nTrace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:\n    (a, b) = (capacityA, capacityB)\n    ans = 0\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if a < list_1[i]:\n            ans += 1\n            a = capacityA\n        a -= list_1[i]\n        if b < list_1[j]:\n            ans += 1\n            b = capacityB\n        b -= list_1[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < list_1[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [47, -85, 49, -51, -65, 21, 92, 3, -35, -68].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = 76.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[47,-85,49,-51,-68,21,92,3,-35,-65]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/85/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [44, -5, 9, -57, -97, -67, 17, 68, 77, 38]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_1 = sum((f(x) for x in list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-70, 24, 36, -63, 43, -85, -16, 100, -58, 31].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = -15.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":156},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-85,-70,-63,-58,-16,24,31,100,36,43]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/85/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-99, 37, -48, -20, -32, -60, -69, 87, -53, 37]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = 14.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,3,1,2,2,2,1,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,1,4,1,4,4,4,1,9,1]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/85/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-56, 15, 86, 92, 84, 8, -11, -30, 51, -60]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] >= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -21.\nDefine task_2_bound_static = 28.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = -13.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":23},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-20,24,2]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":3}]"}
{"id": "python/three_chain_target/85/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [30, 82, -82, 22, 18, 54, 39, -50, -24, 90]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = 91.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[82,90,22,54,54,90,90,-24,90,-1]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,10,1,3,3,10,10,1,10,1]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"}
{"id": "python/three_chain_target/85/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 85, "target_native_task_name": "bagOfTokensScore:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [58, 100, -26, 35, 31, 19, 90, 50, -52, -17]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    s = set()\n    for n in list_1:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_1 = len(s)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -52.\nDefine task_2_bound_static = 15.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_power_static = 55.\nTrace the execution of task_3 with inputs power = task_3_power_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], power: int) -> int:\n    list_3.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        if power >= list_3[i]:\n            power -= list_3[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_3[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-51,8,-45]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/86/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [67, 87, -22, -9, 37, 57, -4, 53, -72, -27]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    g = []\n    for x in list_2:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_2 = len(g)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [-65, 59, 67, -76, 77, 35, 77, -28, -36, 16].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[87,-1,-9,37,57,67,53,67,-27,67]},{\"node_id\":\"task_2\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/86/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [77, 67, 2, -21, -71, -25, 90, 14, 41, 45].\nDefine task_1_runningCost_static = 8.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-7, 100, 47, 39, -48, 33, 5, -29, -19, -48].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [77, 55, 3, 89, -37, -15, 12, -37, -11, -13].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":55},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":100},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/86/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [19, -42, -35, -86, -75, -56, -65, 37, 66, 86]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    (i, j) = (0, len(list_1) - 1)\n    while i < j:\n        if list_1[i] % 2 == 0:\n            i += 1\n        elif list_1[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_1[i], list_1[j]) = (list_1[j], list_1[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_1 = list_1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_target_static = -55.\nTrace the execution of task_2 with inputs target = task_2_target_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], target: int) -> int:\n    list_2.sort()\n    (ans, n) = (0, len(list_2))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_2[i] + list_2[j] + list_2[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [22, -76, -78, 52, -66, -80, -60, -48, -62, -75].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[86,-42,66,-86,-56,-75,-65,37,-35,19]},{\"node_id\":\"task_2\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":57},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"}
{"id": "python/three_chain_target/86/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [57, -14, -64, 99, 35, -58, -69, -66, 20, 59]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [23, -47, -65, 8, -95, 87, -94, -44, -5, -66].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [0] * (n + 1)\n    right = [0] * (n + 1)\n    for (i, x) in enumerate(list_2, 1):\n        if x:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 1, -1, -1):\n        if list_2[i]:\n            right[i] = right[i + 1] + 1\n    python_result_2 = max((left[i] + right[i + 1] for i in range(n)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [57, -28, -95, 37, -2, -82, -25, 61, 84, 34].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,78,-61,-130,105,-61,27,-163,-111,13,-7]},{\"node_id\":\"task_2\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9}]"}
{"id": "python/three_chain_target/86/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-28, 39, 30, -37, -12, -12, 6, 72, -49, -92]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -14.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    (ans, y) = (1, list_1[0])\n    for x in list_1[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= k:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_2:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_2:\n        ans += 1\n        s += k\n        k += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [-15, -1, 95, -38, -24, -100, 52, 14, -30, -35].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"}
{"id": "python/three_chain_target/86/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-65, -84, -58, -75, -13, 77, 60, -26, -14, 49]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_1 = sum((f(x) for x in list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [-52, 59, 70, 80, -35, -2, -32, 80, -72, 48].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [2, -27, 37, 38, -97, 44, 94, 90, -16, -96].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":96},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9}]"}
{"id": "python/three_chain_target/86/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [63, -17, 5, 12, 64, 76, 58, 44, 61, -66]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    n = len(list_1)\n    ans = [0] * n\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1] - i\n        stk.append(i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    stk = []\n    left = [-1] * n\n    right = [n] * n\n    for (i, h) in enumerate(list_2):\n        while stk and list_2[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        h = list_2[i]\n        while stk and list_2[stk[-1]] >= h:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_2)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [87, 77, 79, -26, -22, -97, -42, -73, -31, -93].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[4,1,1,1,1,0,2,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"}
{"id": "python/three_chain_target/86/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 28}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [93, 98, 32, 5, -52, -70, 47, -89, 97, -21].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [8, -87, -36, 58, 7, -80, 39, -91, 35, 63].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [-64, 66, 36, 72, 16, 47, -75, 56, -74, 94].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/86/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 3}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    while 1:\n        (t, s, i) = (val_1, 0, 2)\n        while i <= val_1 // i:\n            while val_1 % i == 0:\n                val_1 //= i\n                s += i\n            i += 1\n        if val_1 > 1:\n            s += val_1\n        if s == t:\n            python_result_1 = t\n            return python_result_1\n        val_1 = s\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_2:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_2:\n        ans += 1\n        s += k\n        k += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [73, -48, -28, -9, 35, -1, 19, -79, -60, 56].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"}
{"id": "python/three_chain_target/86/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [75, 23, 20, 34, -85, 37, 54, -65, -80, -39]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_trainers_static = [-98, -6, -84, 85, -73, 54, -91, -69, -84, 5].\nTrace the execution of task_1 with inputs trainers = task_1_trainers_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], trainers: List[int]) -> int:\n    list_1.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_1):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_1 = i\n            return python_result_1\n        j += 1\n    python_result_1 = len(list_1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_initialExperience_static = -65.\nDefine task_2_energy_static = [-93, 7, -96, -97, 69, 72, 1, -34, -12, 100].\nDefine task_2_experience_static = [-45, 43, 28, -87, -8, -66, 57, -65, -3, 59].\nTrace the execution of task_2 with inputs initialExperience = task_2_initialExperience_static, energy = task_2_energy_static, experience = task_2_experience_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_2)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_2 = energy_hours + exp_hours\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [66, -96, -62, 5, 73, -52, -10, 51, -48, 15].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":271},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"}
{"id": "python/three_chain_target/86/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-65, -2, 75, 52, 6, -8, 5, -74, -64, -4]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [-30, -18, 60, -36, 16, -76, -40, -83, 72, 70].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> int:\n    n = len(list_2)\n    f = [[0] * n for _ in range(n)]\n    m = len(queries)\n    for i in range(n):\n        for j in range(n - 1, i - 1, -1):\n            if i:\n                f[i][j] = max(f[i][j], f[i - 1][j] + (list_2[i - 1] >= queries[f[i - 1][j]]))\n            if j + 1 < n:\n                f[i][j] = max(f[i][j], f[i][j + 1] + (list_2[j + 1] >= queries[f[i][j + 1]]))\n            if f[i][j] == m:\n                python_result_2 = m\n                return python_result_2\n    python_result_2 = max((f[i][i] + (list_2[i] >= queries[f[i][i]]) for i in range(n)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [43, -73, 83, 40, 10, 91, -94, 59, 28, -20].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/86/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 67}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [44, -95, 84, 6, -90, 80, -75, 56, -87, -58].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-67, 46, -90, 100, -2, -10, 37, -53, 34, 95].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_2)\n    if nums[m] > val_2:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_2:\n                break\n            ans += nums[i] - val_2\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_2:\n                break\n            ans += val_2 - nums[i]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [-63, -92, 8, -13, -49, 87, 47, 92, -7, 8].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":29},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"}
{"id": "python/three_chain_target/86/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -57.\nDefine task_1_bound_static = 43.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_target_static = 70.\nTrace the execution of task_2 with inputs target = task_2_target_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], target: int) -> int:\n    list_2.sort()\n    (ans, n) = (0, len(list_2))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = list_2[i] + list_2[j] + list_2[k]\n            if x < target:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [-71, 50, 58, 37, 27, -8, 40, 18, -45, -83].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-56,27,-31]},{\"node_id\":\"task_2\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9}]"}
{"id": "python/three_chain_target/86/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 60}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 16.\nDefine task_1_bound_static = 32.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    max_total = 0\n    for i in range(n):\n        left = [0] * (i + 1)\n        left[i] = list_2[i]\n        for j in range(i - 1, -1, -1):\n            left[j] = min(list_2[j], left[j + 1])\n        left_sum = sum(left)\n        right_length = n - i\n        right = [0] * right_length\n        right[0] = list_2[i]\n        for j in range(i + 1, n):\n            pos_in_right = j - i\n            right[pos_in_right] = min(list_2[j], right[pos_in_right - 1])\n        right_sum = sum(right)\n        current_total = left_sum + right_sum - list_2[i]\n        if current_total > max_total:\n            max_total = current_total\n    python_result_2 = max_total\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [-71, -86, 55, -83, 71, -9, 77, -43, 5, -71].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,17]},{\"node_id\":\"task_2\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":19},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"}
{"id": "python/three_chain_target/86/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 56}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [57, -82, 68, -61, -29, -4, 6, 63, 44, 25].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_2[i] > list_2[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_2[i] > list_2[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_2 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [30, 62, 56, -4, -21, 47, 99, -83, 54, 79].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,-61,-29,-4,6,25,44,57,63,68]},{\"node_id\":\"task_2\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":55},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":7}]"}
{"id": "python/three_chain_target/86/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 86, "target_native_task_name": "bagOfTokensScore:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -2}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -75.\nDefine task_1_bound_static = 41.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = -91.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    mx = list_2[0]\n    cnt = 0\n    for x in list_2[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_tokens_static = [44, 3, 91, -87, -96, 33, 87, 61, -14, -90].\nTrace the execution of task_3 with inputs tokens = task_3_tokens_static.\n```python\nfrom typing import List\ndef task_3(tokens: List[int], val_3: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_3 >= tokens[i]:\n            val_3 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_3 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-74,-1,-77,5,-71,-7,-83,17,-59,-31,-107]},{\"node_id\":\"task_2\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":17},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9}]"}
{"id": "python/three_chain_target/87/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -12}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 74.\nDefine task_1_bound_static = 55.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_2[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [-62, 61, -25, 62, -7, -2, 33, 76, -59, 29].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-63,59,-26,60,-7,-3,30,74,-59,27]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-11]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,0]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-63,59,-26,60,-7,-3,30,74,-59,27]}]"}
{"id": "python/three_chain_target/87/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-31, 51, -69, -85, 36, -5, -5, 19, 52, 9]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_warehouse_static = [73, -39, -81, 71, 34, 44, 92, 54, -9, -39].\nTrace the execution of task_1 with inputs warehouse = task_1_warehouse_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_1.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_1):\n        while j >= 0 and left[j] < list_1[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [73, -98, 71, 97, -98, 84, 40, 72, -21, -97].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [63, 91, -85, 1, -50, 45, 72, -85, 29, 44].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,132,-7,-14,96,-149,126,110,-13,6,-53]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[71,-98,72,97,-98,84,40,73,-21,-97]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,132,-7,-14,96,-149,126,110,-13,6,-53]}]"}
{"id": "python/three_chain_target/87/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 31}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [64, -19, 50, -95, 58, -46, 33, -30, -100, 8].\nDefine task_1_runningCost_static = -90.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -35.\nDefine task_2_bound_static = 82.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [94, 63, 95, 18, -91, 32, -63, -2, -55, -47].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,91,60,92,16,-89,-2,-54,-30,8,-18]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-34,9,-27,65,29]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,91,60,92,16,-89,-2,-54,-30,8,-18]}]"}
{"id": "python/three_chain_target/87/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -18}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 51.\nDefine task_1_bound_static = 20.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [-98, 87, -82, 22, -68, -35, -2, 59, 26, 75].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-99,85,-83,20,-68,-35,-3,56,25,56]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-17]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[2,-17]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-99,85,-83,20,-68,-35,-3,56,25,56]}]"}
{"id": "python/three_chain_target/87/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [13, 94, 74, -51, 98, -22, -21, -52, -23, -76].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [77, 8, 85, -87, 23, -28, 64, -49, -74, 23].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,-45,32,-110,1,-50,74,22,17,119]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":83},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-76,-52,-51,-23,-22,-21,13,74,94,98]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,-45,32,-110,1,-50,74,22,17,119]}]"}
{"id": "python/three_chain_target/87/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-81, -32, -98, -7, -16, 4, -12, -60, 42, 20]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_1) - 1)\n    while i <= j:\n        a = list_1[i] * list_1[i]\n        b = list_1[j] * list_1[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [36, -31, 100, -6, 41, -5, 25, 44, 90, -72].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,49,15,146,35,70,24,26,45,112,-11]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[16,256,49,144,3600,1764,400,9604,1024,6561]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[16,49,49,44,32,32,4,4,24,61]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,49,15,146,35,70,24,26,45,112,-11]}]"}
{"id": "python/three_chain_target/87/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 65}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [49, -31, -34, 49, -79, -84, -47, 82, 65, -52].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    if arr[0] > val_1:\n        python_result_1 = val_1\n        return python_result_1\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_1:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -62.\nDefine task_2_bound_static = 68.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [33, -31, 87, -70, -72, 74, 4, -99, 43, 90].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,31,-32,85,-70,-73,71,2,-100,42,27]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":75},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-61]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,31,-32,85,-70,-73,71,2,-100,42,27]}]"}
{"id": "python/three_chain_target/87/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [46, 41, 98, 39, -76, 56, -58, 79, 40, -3]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [13, -6, -22, 36, 19, 4, -86, -43, -69, -7].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,13,-4,-21,35,18,3,-85,-42,-68,-7]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,3,2,1,2,1,1,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[2,2,2,2,2,1,1,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,13,-4,-21,35,18,3,-85,-42,-68,-7]}]"}
{"id": "python/three_chain_target/87/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -27}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [4, -9, -33, 60, -47, -44, 41, -55, -42, 70].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 79.\nDefine task_2_bound_static = 85.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [76, -74, -90, -45, -86, 18, 80, 56, -33, 51].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,74,-74,-90,-45,-87,15,77,55,44,103]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":53},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,80,54]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,74,-74,-90,-45,-87,15,77,55,44,103]}]"}
{"id": "python/three_chain_target/87/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -90}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_plants_static = [51, 59, 13, -55, -54, 99, 89, -38, 99, -64].\nDefine task_1_capacityB_static = 6.\nTrace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.\n```python\nfrom typing import List\ndef task_1(plants: List[int], val_1: int, capacityB: int) -> int:\n    (a, b) = (val_1, capacityB)\n    ans = 0\n    (i, j) = (0, len(plants) - 1)\n    while i < j:\n        if a < plants[i]:\n            ans += 1\n            a = val_1\n        a -= plants[i]\n        if b < plants[j]:\n            ans += 1\n            b = capacityB\n        b -= plants[j]\n        (i, j) = (i + 1, j - 1)\n    ans += i == j and max(a, b) < plants[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 30.\nDefine task_2_bound_static = 79.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [-24, -98, -100, -29, 70, 37, 93, 43, 11, 32].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-24,-98,-100,-30,67,36,121,49,46,95]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,31,9,38,65]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-24,-98,-100,-30,67,36,121,49,46,95]}]"}
{"id": "python/three_chain_target/87/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-45, -72, -100, 78, 18, -83, 68, 82, -46, 17]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [20, -49, 23, 30, -60, 16, 23, 97, -5, -33].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [88, 63, -67, 84, 11, -90, -43, -84, -44, -49].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [45, 51, 31, 37, -87, -5, 81, -19, 15, -78].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[-5,5,-53,-6,-178,3,163,-87,75,8]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-33,-5,97,23,16,-60,30,-49,20,-45,-72,0,78,18,-83,68,82,-46,17]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-49,-44,-84,-43,-90,11,84,-67,63,88,-33,-5,97,23,16,-60,30,20,-45]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-5,5,-53,-6,-178,3,163,-87,75,8]}]"}
{"id": "python/three_chain_target/87/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-89, -53, -13, -23, 2, -3, 70, -25, -8, 94]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = -13.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [44, -19, 65, -87, 37, 12, -32, 14, 40, -52].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,46,-11,63,-63,98,38,34,20,59,-16]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-89,-53,-13,-23,2,-3,70,-25,-8,94]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,9,4900,625,64,529,169,2809,7921,8836]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,46,-11,63,-63,98,38,34,20,59,-16]}]"}
{"id": "python/three_chain_target/87/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 11}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-36, -80, -27, 34, -75, 42, 62, -84, 15, 73].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] <= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [18, 82, -67, -47, 16, 76, 31, -91, 71, -33].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,17,81,-64,-43,14,79,38,-91,71,-23]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-36,-84,-27,34,-80,42,62,-75,15,73]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,3,5,1,6,9,1,2,10]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,17,81,-64,-43,14,79,38,-91,71,-23]}]"}
{"id": "python/three_chain_target/87/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 72}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [98, 11, 4, -24, -50, 44, 82, 81, 65, -69].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [55, -65, 82, -8, 59, 56, 65, 59, -48, 21].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [50, 88, -37, -56, -65, 56, 51, 34, 26, -40].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,102,20,43,-64,-10,112,113,91,-22,-19]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[55,-65,82,-8,56,59,65,59,-48,21]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,102,20,43,-64,-10,112,113,91,-22,-19]}]"}
{"id": "python/three_chain_target/87/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [97, -63, 30, -61, -40, -97, -50, 76, 6, -78]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [95, 91, 33, 42, 7, -77, 88, 29, -61, 16].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,102,92,33,42,7,-76,87,29,-60,15]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[10,1,6,1,4,1,2,9,2,1]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[10,4,3,3,2,2,2,2,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,102,92,33,42,7,-76,87,29,-60,15]}]"}
{"id": "python/three_chain_target/87/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 87, "target_native_task_name": "addNegabinary:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 30}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 95.\nDefine task_1_bound_static = 94.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_queries_static = [76, -78, 64, -78, -67, 11, -2, -49, -37, 34].\nTrace the execution of task_2 with inputs queries = task_2_queries_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_2:\n        if w not in s:\n            ans.append(w)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_arr2_static = [52, 51, 57, 95, 13, -30, -29, -30, -20, -49].\nTrace the execution of task_3 with inputs arr2 = task_3_arr2_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_3) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_3[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,83,11,5,90,22,-97,-108,31,54,-47]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,31]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[34,-37,-49,-2,11,-67,-78,64,76,2,31]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,83,11,5,90,22,-97,-108,31,54,-47]}]"}
{"id": "python/three_chain_target/88/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -10}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [85, 54, -33, 37, 51, 41, -74, -18, 90, 26].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 20.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "60", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[85,54,-33,37,51,41,-74,-18,90,26]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":60}]"}
{"id": "python/three_chain_target/88/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -5}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [7, 3, -82, -57, -99, 32, 18, 68, 62, -32].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 0.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "20", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[7,3,-82,-57,-99,32,18,68,62,-32]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":20}]"}
{"id": "python/three_chain_target/88/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 71}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_1:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_1:\n        ans += 1\n        s += k\n        k += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [42, 91, 65, 10, -99, 33, -76, 60, -76, -31].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 95.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "184", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":26},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[10,33,42,60,-99,65,-76,91,-76,-31]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":184}]"}
{"id": "python/three_chain_target/88/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [38, 93, 89, 52, 40, 87, -65, 91, -16, 19]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-9, -74, -17, 76, 8, 62, 87, 37, 43, 93].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        a = list_2[i] * list_2[i]\n        b = list_2[j] * list_2[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 31.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,26,16,69,125,45,146,19,125,24,110]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,1,676,256,4761,625,2025,2116,361,625]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/88/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-80, -16, -80, 1, -45, 49, -40, 77, 91, -49].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -5.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "70", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-80,-16,-80,1,-45,49,-40,77,91,-49]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-16,1,1,49,49,77,77,91,-1,-16]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":70}]"}
{"id": "python/three_chain_target/88/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-95, -6, 68, 73, 97, 56, 58, 51, -26, -16]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [51, -16, -91, 28, 79, 54, -7, 66, 49, -36].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -3.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "83", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[49,-16,-91,28,79,51,-7,66,54,-36]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":83}]"}
{"id": "python/three_chain_target/88/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -91}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-84, 37, 18, 31, -40, -93, 9, -100, 86, 16].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    mx = max(nums)\n    n = len(nums)\n    ans = cnt = j = 0\n    for x in nums:\n        while j < n and cnt < val_1:\n            cnt += nums[j] == mx\n            j += 1\n        if cnt < val_1:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -41.\nDefine task_2_bound_static = 22.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 90.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "167", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-40,11,-31]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":167}]"}
{"id": "python/three_chain_target/88/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -70}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -24.\nDefine task_2_bound_static = 82.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 48.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "123", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-7},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-23,-6,-31,50,25,-342,-367]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":123}]"}
{"id": "python/three_chain_target/88/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-91, -81, -52, 69, -71, 98, -59, -41, 60, 56]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [77, -64, 38, 20, 99, 65, 52, -50, 78, 35].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -17.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "213", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[35,78,-50,52,65,99,20,38,-64,77,-91,-81,-52,69,-71,98,-59,-41,60,56]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-64,78,-50,52,38,20,99,65,35,77]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":213}]"}
{"id": "python/three_chain_target/88/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -68}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 82.\nDefine task_2_bound_static = 46.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 41.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "84", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-86},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-85,-4]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":84}]"}
{"id": "python/three_chain_target/88/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-85, 15, 53, -74, -45, -45, -46, 14, -83, 79]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_1[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 80.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "360", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[15,53,79,-45,14,14,14,79,79,-1]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":360}]"}
{"id": "python/three_chain_target/88/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [95, 63, 82, 33, 30, -49, 52, -42, 29, 37]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [37, -99, 91, -28, 11, -25, 1, -13, -7, -16].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = 34.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 75.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "183", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,130,-37,170,2,39,-75,51,-56,19,19]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[1,1,2,-75,30,39,51,-56,70,-37]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":183}]"}
{"id": "python/three_chain_target/88/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 13}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-13, 55, -7, -79, 84, -15, -48, -82, 1, 49].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_2)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_2[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_2, j)\n            ans.append(i + 1)\n            reverse(list_2, i)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -11.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "75", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-15,49,-13,-82,84,-7,-48,-79,1,55]},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":75}]"}
{"id": "python/three_chain_target/88/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [22, -6, -40, 23, -9, 94, -86, -100, 93, 20]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = [0, 0]\n    n = len(list_1)\n    for i in range(2):\n        for j in range(i, n, 2):\n            d = 0\n            if j:\n                d = max(d, list_1[j] - list_1[j - 1] + 1)\n            if j < n - 1:\n                d = max(d, list_1[j] - list_1[j + 1] + 1)\n            ans[i] += d\n    python_result_1 = min(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 70.\nDefine task_2_bound_static = 98.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = 57.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "14", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":123},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,71,24,93]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":14}]"}
{"id": "python/three_chain_target/88/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_skills_static = [75, -91, 55, -18, 100, -10, -82, -88, -68, -49].\nTrace the execution of task_1 with inputs skills = task_1_skills_static.\n```python\nfrom typing import List\ndef task_1(skills: List[int], val_1: int) -> int:\n    n = len(skills)\n    val_1 = min(val_1, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = i\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -3.\nDefine task_2_bound_static = 48.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -64.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "341", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-2,10,-26,5,1,13,-23,17,13,25,-11]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":341}]"}
{"id": "python/three_chain_target/88/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 88, "target_native_task_name": "minOperationsToMakeMedianK:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-82, 72, 6, 86, 7, -41, -48, 47, 63, -21]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [-11, -54, 83, -40, -35, -40, 6, -88, 25, 1].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_1), sum(nums2))\n    python_result_1 = max(s2 + f(list_1, nums2), s1 + f(nums2, list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-36, 14, -41, -69, 65, 46, -92, -92, -18, -9].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_k_static = -8.\nTrace the execution of task_3 with inputs k = task_3_k_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], k: int) -> int:\n    list_3.sort()\n    n = len(list_3)\n    m = n >> 1\n    ans = abs(list_3[m] - k)\n    if list_3[m] > k:\n        for i in range(m - 1, -1, -1):\n            if list_3[i] <= k:\n                break\n            ans += list_3[i] - k\n    else:\n        for i in range(m + 1, n):\n            if list_3[i] >= k:\n                break\n            ans += k - list_3[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "11", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":182},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-92,-92,-69,-41,-36,-18,-9,14,46,65]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":11}]"}
{"id": "python/three_chain_target/89/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 84}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-78, 22, -56, 45, 84, -24, 39, -93, -9, -41].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [42, -37, 39, -97, 52, -15, 10, 53, -9, 54].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_2:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [54, 39, -69, -91, -12, -100, 88, -37, 90, 44].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "135", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":84},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":90},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":135}]"}
{"id": "python/three_chain_target/89/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 87}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_customers_static = [-27, 89, 97, -35, 67, -65, 88, 89, 72, 48].\nDefine task_1_runningCost_static = -51.\nTrace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.\n```python\nfrom typing import List\ndef task_1(customers: List[int], val_1: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_1 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-65, -14, -6, 12, 80, -13, 3, -10, 56, 40].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-10, -68, -8, -53, 71, 100, -8, 27, -92, 59].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "30", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":114},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":22},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":30}]"}
{"id": "python/three_chain_target/89/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 82}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_1:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_1:\n        ans += 1\n        s += k\n        k += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [70, 67, -4, 61, -73, 90, 40, 25, -10, 98].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [32, 77, -62, 16, -31, 21, 41, -46, -14, 68].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":28},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":19}]"}
{"id": "python/three_chain_target/89/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-79, -80, 64, 9, -76, 32, 28, -10, -31, -46]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    g = []\n    for x in list_2:\n        (l, r) = (0, len(g))\n        while l < r:\n            mid = l + r >> 1\n            if g[mid] < x:\n                r = mid\n            else:\n                l = mid + 1\n        if l == len(g):\n            g.append(x)\n        else:\n            g[l] = x\n    python_result_2 = len(g)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [20, 59, -75, -35, -27, -88, -90, 83, -59, 96].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "29", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-79,-80,-76,-46]},{\"node_id\":\"task_2\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":29}]"}
{"id": "python/three_chain_target/89/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [23, 18, 97, -52, -23, -74, 72, -21, 41, 15]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    s = list(str(val_2))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_2 = int(''.join(s))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [32, -11, 68, 5, -79, 80, 81, -2, 92, -2].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "217", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-341},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-39},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":217}]"}
{"id": "python/three_chain_target/89/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [22, -70, -14, -62, -54, -69, 49, -44, 55, 7]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_limit_static = 72.\nTrace the execution of task_1 with inputs limit = task_1_limit_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], limit: int) -> List[int]:\n    n = len(list_1)\n    arr = sorted(zip(list_1, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    stk = []\n    for (i, x) in enumerate(list_2):\n        while stk and list_2[stk[-1]] <= x:\n            stk.pop()\n        stk.append(i)\n    ans = i = 0\n    for j in stk:\n        ans += list_2[j] * (j - i)\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-69, 98, 99, 29, 37, -87, 73, 76, -83, 33].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "99", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-70,-69,-62,-54,-44,-14,7,22,49,55]},{\"node_id\":\"task_2\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":495},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":99}]"}
{"id": "python/three_chain_target/89/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -52}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -49.\nDefine task_1_bound_static = 82.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_power_static = 69.\nTrace the execution of task_2 with inputs power = task_2_power_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], power: int) -> int:\n    list_2.sort()\n    ans = score = 0\n    (i, j) = (0, len(list_2) - 1)\n    while i <= j:\n        if power >= list_2[i]:\n            power -= list_2[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            power += list_2[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-61, 23, 38, 93, -94, 83, 14, 68, -91, 73].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "63", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-48,-51,-101]},{\"node_id\":\"task_2\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":63}]"}
{"id": "python/three_chain_target/89/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -40}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [49, -9, -95, -98, -99, -93, -96, -77, -76, 94].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [1] * n\n    right = [1] * n\n    for i in range(1, n):\n        if list_2[i] > list_2[i - 1]:\n            left[i] = left[i - 1] + 1\n    for i in range(n - 2, -1, -1):\n        if list_2[i] > list_2[i + 1]:\n            right[i] = right[i + 1] + 1\n    python_result_2 = sum((max(a, b) for (a, b) in zip(left, right)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [58, -56, 45, 8, 62, -52, 57, -78, 62, -74].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "18", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[49,-9,-95,-98,-99,-93,-96,-77,-76,94]},{\"node_id\":\"task_2\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":27},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":18}]"}
{"id": "python/three_chain_target/89/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -49}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 97.\nDefine task_1_bound_static = 6.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_s_static = [-84, 49, 59, -44, -77, -18, 1, 76, -48, 21].\nTrace the execution of task_2 with inputs s = task_2_s_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], s: List[int]) -> int:\n    list_2.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_2):\n        while j < len(s) and s[j] < list_2[i]:\n            j += 1\n        if j >= len(s):\n            python_result_2 = i\n            return python_result_2\n        j += 1\n    python_result_2 = len(list_2)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [78, -39, -71, 41, 24, 81, 85, -79, 17, 17].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "52", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-48]},{\"node_id\":\"task_2\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":52}]"}
{"id": "python/three_chain_target/89/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 59}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_2:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_2:\n        ans += 1\n        s += k\n        k += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [92, 33, -36, 38, -37, -64, 84, 24, 35, 82].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "23", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":59},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":23},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":23}]"}
{"id": "python/three_chain_target/89/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [79, -10, 46, 97, -20, 97, -62, -56, -86, -40]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [62, -29, -68, -5, 44, -62, -16, -78, 69, 14].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_1), sum(nums2))\n    if s1 == s2:\n        python_result_1 = 0\n        return python_result_1\n    if s1 > s2:\n        python_result_1 = task_1(nums2, list_1)\n        return python_result_1\n    arr = [6 - v for v in list_1] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_1 = i\n            return python_result_1\n    python_result_1 = -1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [37, -85, 96, 97, -5, -43, -27, -40, 19, 38].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [56, -100, -51, -86, -90, -5, 9, 33, 100, -99].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":7}]"}
{"id": "python/three_chain_target/89/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [95, 46, -48, -72, -64, 64, 9, -47, -98, -69]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    def reverse(arr, j):\n        i = 0\n        while i < j:\n            (arr[i], arr[j]) = (arr[j], arr[i])\n            (i, j) = (i + 1, j - 1)\n    n = len(list_1)\n    ans = []\n    for i in range(n - 1, 0, -1):\n        j = i\n        while j > 0 and list_1[j] != i + 1:\n            j -= 1\n        if j < i:\n            if j > 0:\n                ans.append(j + 1)\n                reverse(list_1, j)\n            ans.append(i + 1)\n            reverse(list_1, i)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    left = [0] * n\n    right = [0] * n\n    s = 0\n    for (i, x) in enumerate(list_2):\n        s = max(s, 0) + x\n        left[i] = s\n    s = 0\n    for i in range(n - 1, -1, -1):\n        s = max(s, 0) + list_2[i]\n        right[i] = s\n    ans = max(left)\n    for i in range(1, n - 1):\n        ans = max(ans, left[i - 1] + right[i + 1])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-26, 87, 66, 74, 69, 47, -33, -29, 77, -5].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,4,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":58},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/89/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [48, 16, -64, 71, 32, 45, 61, -84, -38, 12]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_1[i - 1]\n    total = sum(list_1)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_1[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_1 = answer\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (i, j) = (0, len(list_2) - 1)\n    (a, b) = (list_2[i], list_2[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_2[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_2[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_2[i], list_2[j])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [22, -61, 39, -15, 42, 1, -23, -96, 28, 95].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "13", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[51,13,35,28,75,152,258,235,113,87]},{\"node_id\":\"task_2\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":13}]"}
{"id": "python/three_chain_target/89/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 52}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [3, -63, -37, -48, 91, 15, -47, -62, -87, -63].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_buses_static = [-4, -92, 68, -75, -94, -92, -4, 63, -81, -40].\nDefine task_2_passengers_static = [99, 6, 45, -67, -37, 65, -100, 95, -10, -59].\nTrace the execution of task_2 with inputs buses = task_2_buses_static, passengers = task_2_passengers_static.\n```python\nfrom typing import List\ndef task_2(buses: List[int], passengers: List[int], val_2: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_2\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-2, 35, -87, 59, -81, 66, 1, 70, -97, 18].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "94", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":68},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":94}]"}
{"id": "python/three_chain_target/89/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [21, -93, 74, 8, -27, -40, -64, -3, 17, -36]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_1):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_tokens_static = [45, 21, -98, -29, -73, 83, -13, 84, 50, 38].\nTrace the execution of task_2 with inputs tokens = task_2_tokens_static.\n```python\nfrom typing import List\ndef task_2(tokens: List[int], val_2: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_2 >= tokens[i]:\n            val_2 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_2 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [-17, -37, -17, 38, 12, 63, -100, -2, -9, -16].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "27", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":27}]"}
{"id": "python/three_chain_target/89/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 89, "target_native_task_name": "minOperationsToMakeMedianK:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [17, -58, -11, 53, 87, 51, -69, 46, 82, -43]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [-19, -18, -93, -67, 10, 53, -10, -5, 54, 45].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    (s1, s2) = (sum(list_1), sum(nums2))\n    if s1 == s2:\n        python_result_1 = 0\n        return python_result_1\n    if s1 > s2:\n        python_result_1 = task_1(nums2, list_1)\n        return python_result_1\n    arr = [6 - v for v in list_1] + [v - 1 for v in nums2]\n    d = s2 - s1\n    for (i, v) in enumerate(sorted(arr, reverse=True), 1):\n        d -= v\n        if d <= 0:\n            python_result_1 = i\n            return python_result_1\n    python_result_1 = -1\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [10, -38, 28, -62, -57, 36, -39, -80, 34, -94].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_nums_static = [38, 66, 22, 70, 36, -93, -82, -7, -98, -68].\nTrace the execution of task_3 with inputs nums = task_3_nums_static.\n```python\nfrom typing import List\ndef task_3(nums: List[int], val_3: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_3)\n    if nums[m] > val_3:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_3:\n                break\n            ans += nums[i] - val_3\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_3:\n                break\n            ans += val_3 - nums[i]\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":19}]"}
{"id": "python/three_chain_target/90/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [13, -89, -15, 93, -26, 42, -41, 84, -17, -74]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_1[j] > list_1[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_skills_static = [-82, 39, -42, -70, -87, 78, 1, 14, -67, 100].\nTrace the execution of task_2 with inputs skills = task_2_skills_static.\n```python\nfrom typing import List\ndef task_2(skills: List[int], val_2: int) -> int:\n    n = len(skills)\n    val_2 = min(val_2, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if skills[i] < skills[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/90/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-71, 81, -60, 6, 39, -77, 63, 63, -56, 88]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_s_static = [45, -59, 98, -44, 10, -41, 72, 94, -100, 80].\nTrace the execution of task_1 with inputs s = task_1_s_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], s: List[int]) -> int:\n    list_1.sort()\n    s.sort()\n    j = 0\n    for (i, x) in enumerate(list_1):\n        while j < len(s) and s[j] < list_1[i]:\n            j += 1\n        if j >= len(s):\n            python_result_1 = i\n            return python_result_1\n        j += 1\n    python_result_1 = len(list_1)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [71, 11, -54, -48, -21, -53, 100, 3, 95, 18].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_2 == 1:\n        python_result_2 = ans % mod\n        return python_result_2\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_2 - 2) * s + mx_pre + mx_suf)\n    python_result_2 = ans % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":1192},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/90/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-1, 10, -40, -45, 88, -58, 25, -99, -68, -84]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] <= x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    def f(x: int) -> int:\n        i = 2\n        (cnt, s) = (2, x + 1)\n        while i <= x // i:\n            if x % i == 0:\n                cnt += 1\n                s += i\n                if i * i != x:\n                    cnt += 1\n                    s += x // i\n            i += 1\n        return s if cnt == 4 else 0\n    python_result_2 = sum((f(x) for x in list_2))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,4,2,1,10,1,5,1,3,1]},{\"node_id\":\"task_2\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":18},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/90/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 54}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -6.\nDefine task_1_bound_static = 42.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [-32, -100, 94, -63, -12, -20, 39, -48, -69, -1].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_2), sum(nums2))\n    python_result_2 = max(s2 + f(list_2, nums2), s1 + f(nums2, list_2))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "23", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-5,37,-215]},{\"node_id\":\"task_2\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":76},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":23}]"}
{"id": "python/three_chain_target/90/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 17}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    (s, k) = (0, 1)\n    while s + k * (k + 1) // 2 <= val_2:\n        s += k * (k + 1) // 2\n        k += 1\n    k -= 1\n    ans = k * (k + 1) // 2\n    k = 1\n    while s < val_2:\n        ans += 1\n        s += k\n        k += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":17},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7}]"}
{"id": "python/three_chain_target/90/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -5}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 68.\nDefine task_1_bound_static = 45.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = 63.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    n = len(list_2)\n    k = min(k, n - 1)\n    i = cnt = 0\n    for j in range(1, n):\n        if list_2[i] < list_2[j]:\n            i = j\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-4,26,-124,-57]},{\"node_id\":\"task_2\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/90/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -11}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-82, 30, -56, 11, -46, 87, 79, 48, -9, -44].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_2:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,30,-56,11,-46,87,79,48,-9,-44]},{\"node_id\":\"task_2\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7}]"}
{"id": "python/three_chain_target/90/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [45, -64, 21, -8, -3, 20, -94, 7, -94, -45]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_nums2_static = [77, -20, -73, 89, -25, 29, 96, 62, -87, -81].\nTrace the execution of task_1 with inputs nums2 = task_1_nums2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_1), sum(nums2))\n    python_result_1 = max(s2 + f(list_1, nums2), s1 + f(nums2, list_1))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [87, -64, 80, -36, 17, 36, -78, -70, -43, 28].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_2 = 1\n            return python_result_2\n        if x * y <= val_2:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":161},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/90/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-97, 75, 57, -53, 63, -79, 58, -81, 27, 42]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_1[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_1):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_nums2_static = [31, -24, -98, -95, -39, 7, -58, -9, -75, -100].\nTrace the execution of task_2 with inputs nums2 = task_2_nums2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], nums2: List[int]) -> int:\n    def f(nums1, nums2):\n        d = [a - b for (a, b) in zip(nums1, nums2)]\n        t = mx = d[0]\n        for v in d[1:]:\n            if t > 0:\n                t += v\n            else:\n                t = v\n            mx = max(mx, t)\n        return mx\n    (s1, s2) = (sum(list_2), sum(nums2))\n    python_result_2 = max(s2 + f(list_2, nums2), s1 + f(nums2, list_2))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_2\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":49},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/90/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-78, -14, 29, 41, -43, -69, -57, 45, -45, -7]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    f = [0] * n\n    g = [0] * n\n    f[0] = int(list_1[0] > 0)\n    g[0] = int(list_1[0] < 0)\n    ans = f[0]\n    for i in range(1, n):\n        if list_1[i] > 0:\n            f[i] = f[i - 1] + 1\n            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n        elif list_1[i] < 0:\n            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1\n            g[i] = f[i - 1] + 1\n        ans = max(ans, f[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_buses_static = [-15, 7, 26, 5, 50, -31, -21, -66, -89, 71].\nDefine task_2_passengers_static = [-63, -20, -6, 96, 35, 54, 23, -98, 47, 69].\nTrace the execution of task_2 with inputs buses = task_2_buses_static, passengers = task_2_passengers_static.\n```python\nfrom typing import List\ndef task_2(buses: List[int], passengers: List[int], val_2: int) -> int:\n    buses.sort()\n    passengers.sort()\n    j = 0\n    for t in buses:\n        c = val_2\n        while c and j < len(passengers) and (passengers[j] <= t):\n            (c, j) = (c - 1, j + 1)\n    j -= 1\n    ans = buses[-1] if c else passengers[j]\n    while ~j and passengers[j] == ans:\n        (ans, j) = (ans - 1, j - 1)\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "71", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":71},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":71}]"}
{"id": "python/three_chain_target/90/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -70}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-18, 94, -12, -68, 28, 45, 47, -26, 9, 82].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    mod = 10 ** 9 + 7\n    n = len(list_2)\n    list_2.sort()\n    idx = {v: i for (i, v) in enumerate(list_2)}\n    f = [1] * n\n    for (i, a) in enumerate(list_2):\n        for j in range(i):\n            b = list_2[j]\n            if a % b == 0 and (c := (a // b)) in idx:\n                f[i] = (f[i] + f[j] * f[idx[c]]) % mod\n    python_result_2 = sum(f) % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-18,94,-12,-68,28,45,47,-26,9,82]},{\"node_id\":\"task_2\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7}]"}
{"id": "python/three_chain_target/90/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-98, 95, -22, -5, 57, 12, -93, -60, -50, 66]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    stk = []\n    left = [-1] * n\n    for (i, x) in enumerate(list_1):\n        while stk and list_1[stk[-1]] > x:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    right = [n] * n\n    for i in range(n - 1, -1, -1):\n        x = list_1[i]\n        while stk and list_1[stk[-1]] >= x:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    f = [0] * n\n    for (i, x) in enumerate(list_1):\n        if i and x >= list_1[i - 1]:\n            f[i] = f[i - 1] + x\n        else:\n            j = left[i]\n            f[i] = x * (i - j) + (f[j] if j != -1 else 0)\n    g = [0] * n\n    for i in range(n - 1, -1, -1):\n        if i < n - 1 and list_1[i] >= list_1[i + 1]:\n            g[i] = g[i + 1] + list_1[i]\n        else:\n            j = right[i]\n            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)\n    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-81, -78, 72, -59, -9, 16, 24, 55, -27, -80].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-450},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":72},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7}]"}
{"id": "python/three_chain_target/90/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [16, 83, -50, 54, 8, 53, 66, -37, 76, -44]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -61.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    mx = max(list_1)\n    n = len(list_1)\n    ans = cnt = j = 0\n    for x in list_1:\n        while j < n and cnt < k:\n            cnt += list_1[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_tokens_static = [-87, 98, 85, -75, 22, -6, 23, -95, 55, -49].\nTrace the execution of task_2 with inputs tokens = task_2_tokens_static.\n```python\nfrom typing import List\ndef task_2(tokens: List[int], val_2: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_2 >= tokens[i]:\n            val_2 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_2 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7}]"}
{"id": "python/three_chain_target/90/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [37, 6, -70, -46, 53, 79, -73, -58, -22, 17]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [-94, 23, -77, -62, -20, -6, -40, -83, -55, -25].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_warehouse_static = [73, -73, 20, 52, -11, -14, -6, -47, -6, -5].\nTrace the execution of task_2 with inputs warehouse = task_2_warehouse_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], warehouse: List[int]) -> int:\n    n = len(warehouse)\n    left = [warehouse[0]] * n\n    for i in range(1, n):\n        left[i] = min(left[i - 1], warehouse[i])\n    list_2.sort()\n    (i, j) = (0, n - 1)\n    while i < len(list_2):\n        while j >= 0 and left[j] < list_2[i]:\n            j -= 1\n        if j < 0:\n            break\n        (i, j) = (i + 1, j - 1)\n    python_result_2 = i\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-58,27,-147,-109,30,71,-113,-141,-77,-8]},{\"node_id\":\"task_2\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/90/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 7}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 46.\nDefine task_1_bound_static = 40.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_trainers_static = [-3, 42, 40, -61, -2, -92, -5, 1, 19, 98].\nTrace the execution of task_2 with inputs trainers = task_2_trainers_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], trainers: List[int]) -> int:\n    list_2.sort()\n    trainers.sort()\n    (j, n) = (0, len(trainers))\n    for (i, p) in enumerate(list_2):\n        while j < n and trainers[j] < p:\n            j += 1\n        if j == n:\n            python_result_2 = i\n            return python_result_2\n        j += 1\n    python_result_2 = len(list_2)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8]},{\"node_id\":\"task_2\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/90/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 90, "target_native_task_name": "smallestValue:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 99}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [4, 30, 50, 66, -94, -78, -36, 90, -46, 9].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    s = set()\n    for n in list_2:\n        i = 2\n        while i <= n // i:\n            if n % i == 0:\n                s.add(i)\n                while n % i == 0:\n                    n //= i\n            i += 1\n        if n > 1:\n            s.add(n)\n    python_result_2 = len(s)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_3.\n```python\ndef task_3(val_3: int) -> int:\n    while 1:\n        (t, s, i) = (val_3, 0, 2)\n        while i <= val_3 // i:\n            while val_3 % i == 0:\n                val_3 //= i\n                s += i\n            i += 1\n        if val_3 > 1:\n            s += val_3\n        if s == t:\n            python_result_3 = t\n            return python_result_3\n        val_3 = s\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-78,-46,-36,4,9,30,50,66,90]},{\"node_id\":\"task_2\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":4}]"}
{"id": "python/three_chain_target/91/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -97}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 59.\nDefine task_1_bound_static = 80.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = 40.\nDefine task_3_runningCost_static = -95.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,60,-96,-38]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[60,-1,-38,2]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/91/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [7, 8, 99, 17, 33, -73, 27, -83, 21, 50]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    left = [-1] * n\n    right = [n] * n\n    stk = []\n    for (i, v) in enumerate(list_1):\n        while stk and list_1[stk[-1]] >= v:\n            stk.pop()\n        if stk:\n            left[i] = stk[-1]\n        stk.append(i)\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_1[stk[-1]] > list_1[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    mod = 10 ** 9 + 7\n    python_result_1 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_1))) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -91.\nDefine task_2_bound_static = 56.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = -3.\nDefine task_3_runningCost_static = 62.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997525},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-90,26,-66]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/91/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -35}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    s = list(str(val_1))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_1 = int(''.join(s))\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 37.\nDefine task_2_bound_static = 77.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = 74.\nDefine task_3_runningCost_static = -51.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-35},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,38,-34,2]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/91/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [66, 8, -87, -27, 87, 22, 90, 6, 40, -22]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = 69.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    mx = list_1[0]\n    cnt = 0\n    for x in list_1[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == k:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-16, -76, 16, 93, 20, 1, 58, 18, 65, 69].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = 47.\nDefine task_3_runningCost_static = 24.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "88", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":90},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-76,-16,1,16,18,20,58,65,69,93]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":88}]"}
{"id": "python/three_chain_target/91/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 26}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 95.\nDefine task_1_bound_static = 40.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = 62.\nDefine task_3_runningCost_static = -84.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,27]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[2,27]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":8}]"}
{"id": "python/three_chain_target/91/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-69, -51, 73, 88, -58, 44, -37, 55, -38, 54]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    n = len(list_1)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_1[j] < list_1[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_1[j] > list_1[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [7, 95, -63, -62, 57, 26, 48, -62, -54, 1].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = -66.\nDefine task_3_runningCost_static = -85.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[1,95,-63,-62,57,26,48,-62,-54,7]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/91/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -17}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-42, 8, -31, -62, 4, 61, -12, -67, -66, 32].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = -22.\nDefine task_3_runningCost_static = -60.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-42,8,-31,-62,4,61,-12,-67,-66,32]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-42,-31,-62,-67,-66,32]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/91/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -100}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [-45, -72, -17, -3, -4, -66, 29, -63, 53, 77].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -71.\nDefine task_2_bound_static = 50.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = -94.\nDefine task_3_runningCost_static = -16.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-70,11,-61]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/91/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [44, -27, -46, -24, 55, 51, 38, -23, -79, -73].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 90.\nDefine task_2_bound_static = 77.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = -16.\nDefine task_3_runningCost_static = -81.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,11]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":4}]"}
{"id": "python/three_chain_target/91/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -17}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-100, 39, -11, -20, 21, 61, 100, -75, 99, -25].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = 48.\nDefine task_3_runningCost_static = -76.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-100,39,-11,-20,21,61,100,-75,99,-25]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[0,0,-11,-11,21,21,0,0,0,-25]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":9}]"}
{"id": "python/three_chain_target/91/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 54}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [66, -30, 84, 40, -38, -96, 1, 3, 7, 7].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-55, 42, 37, 21, -88, -44, -51, -62, 19, 54].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = -89.\nDefine task_3_runningCost_static = 72.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":83},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-88,-62,-55,-51,-44,19,21,37,42,54]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":5}]"}
{"id": "python/three_chain_target/91/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 42}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-1, -48, -16, 15, -30, -18, 80, 78, -27, 6].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    f = True\n    while f:\n        f = False\n        t = list_2[:]\n        for i in range(1, len(t) - 1):\n            if t[i] > t[i - 1] and t[i] > t[i + 1]:\n                list_2[i] -= 1\n                f = True\n            if t[i] < t[i - 1] and t[i] < t[i + 1]:\n                list_2[i] += 1\n                f = True\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = -91.\nDefine task_3_runningCost_static = -60.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-48,-30,-27,-18,-16,-1,78,80,6,15]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-48,-30,-27,-18,-16,-1,78,78,15,15]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/91/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 38}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = -8.\nDefine task_1_bound_static = 18.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = -75.\nDefine task_3_runningCost_static = -72.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-7]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[2,-7]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/91/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-96, 41, 86, 38, 19, -74, 49, 91, -9, -48]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_arr2_static = [76, -77, -81, -21, 56, 51, -82, -84, 1, -53].\nTrace the execution of task_1 with inputs arr2 = task_1_arr2_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_1) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_1[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_1 = ans[::-1]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = -100.\nDefine task_3_runningCost_static = 66.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-20,-37,2,14,73,-23,-34,5,-8,-101]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-20,-8,2,14,-34,-23,73,5,-37,-1]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":6}]"}
{"id": "python/three_chain_target/91/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 23}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-70, -65, 44, 99, 56, 45, -36, -33, 86, 61].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_limit_static = -33.\nTrace the execution of task_2 with inputs limit = task_2_limit_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], limit: int) -> List[int]:\n    n = len(list_2)\n    arr = sorted(zip(list_2, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= limit:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = -94.\nDefine task_3_runningCost_static = 30.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-70,-65,44,86,45,56,-36,-33,99,61]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-70,-65,44,86,45,56,-36,-33,99,61]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/91/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 91, "target_native_task_name": "minOperationsMaxProfit:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -60}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 53.\nDefine task_1_bound_static = 100.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nDefine task_3_boardingCost_static = -32.\nDefine task_3_runningCost_static = 95.\nTrace the execution of task_3 with inputs boardingCost = task_3_boardingCost_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(list_3: List[int], boardingCost: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(list_3):\n        wait += list_3[i] if i < len(list_3) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * boardingCost - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,54,-59,-7]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-59,-7]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":2}]"}
{"id": "python/three_chain_target/92/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-79, 39, 65, -21, -13, -19, -78, 35, -8, -82]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [-4, 72, 95, -18, -61, -2, 94, -76, 95, -52].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    ans = s = 0\n    pos = {}\n    for (i, x) in enumerate(list_2):\n        s += 1 if x > 8 else -1\n        if s > 0:\n            ans = i + 1\n        elif s - 1 in pos:\n            ans = max(ans, i - pos[s - 1])\n        if s not in pos:\n            pos[s] = i\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [98, -37, 84, 8, -96, 24, 26, 92, 47, -68].\nDefine task_3_runningCost_static = -26.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "45", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-52,95,-76,94,-2,-61,-18,72,-4,-79,39,65,-21,-13,-19,-78,35,-8,-82]},{\"node_id\":\"task_2\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":45}]"}
{"id": "python/three_chain_target/92/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [26, -96, -89, 33, 26, -91, -33, -93, 29, 56]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_1):\n        if not stk or list_1[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_1) - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_2:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_2 = 0\n            return python_result_2\n        y = val_2 % 10\n        if val_2 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_2 = (val_2 - y) // 10\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [47, -8, -80, -26, -46, -24, -39, -93, 23, 52].\nDefine task_3_runningCost_static = -63.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/92/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -94}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-72, 48, -62, -82, -69, 46, -22, 15, 20, -91].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    s = list(str(val_2))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_2 = int(''.join(s))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [-35, 83, -67, 61, 90, 68, -87, 25, 18, 5].\nDefine task_3_runningCost_static = 26.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "50", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":56},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":56},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":50}]"}
{"id": "python/three_chain_target/92/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -100}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [27, 85, -53, 30, -100, -78, -79, 86, 16, -48].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    (left, right) = (0, len(list_2) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_2[mid] > list_2[right]:\n            left = mid + 1\n        elif list_2[mid] < list_2[right]:\n            right = mid\n        else:\n            right -= 1\n    python_result_2 = list_2[left]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [-56, 94, 55, -43, -55, -69, -86, -77, 57, -4].\nDefine task_3_runningCost_static = 10.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[27,85,-53,30,-100,-78,-79,86,16,-48]},{\"node_id\":\"task_2\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-48},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":8}]"}
{"id": "python/three_chain_target/92/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [90, 47, -67, -32, 94, -68, -91, -61, 97, -41]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_1):\n        if not stk or list_1[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_1) - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_tokens_static = [9, 70, -63, 21, -51, -66, 22, -27, 22, 85].\nTrace the execution of task_2 with inputs tokens = task_2_tokens_static.\n```python\nfrom typing import List\ndef task_2(tokens: List[int], val_2: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_2 >= tokens[i]:\n            val_2 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_2 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [-13, -78, -24, 15, 39, -62, 81, -47, 81, -71].\nDefine task_3_runningCost_static = -90.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "17", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":17}]"}
{"id": "python/three_chain_target/92/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [32, 11, 28, 26, 30, -56, -56, -54, 87, 11]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_queries_static = [46, -100, 65, 1, -97, 85, 68, 88, 67, 77].\nTrace the execution of task_1 with inputs queries = task_1_queries_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], queries: List[int]) -> List[int]:\n    s = set()\n    ans = []\n    for q in queries[::-1]:\n        if q not in s:\n            ans.append(q)\n            s.add(q)\n    for w in list_1:\n        if w not in s:\n            ans.append(w)\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    right = [n] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and list_2[stk[-1]] >= list_2[i]:\n            stk.pop()\n        if stk:\n            right[i] = stk[-1]\n        stk.append(i)\n    python_result_2 = sum((j - i for (i, j) in enumerate(right)))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [51, 9, -71, -66, 56, -81, -80, 73, 59, 47].\nDefine task_3_runningCost_static = -72.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "52", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[77,67,88,68,85,-97,1,65,-100,46,32,11,28,26,30,-56,-56,-54,87,11]},{\"node_id\":\"task_2\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":20},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":52}]"}
{"id": "python/three_chain_target/92/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 34}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 27.\nDefine task_1_bound_static = 39.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> int:\n    n = len(list_2)\n    ans = 1\n    f = [1] * n\n    g = [1] * n\n    for i in range(1, n):\n        for j in range(i):\n            if list_2[j] < list_2[i]:\n                f[i] = max(f[i], g[j] + 1)\n            elif list_2[j] > list_2[i]:\n                g[i] = max(g[i], f[j] + 1)\n        ans = max(ans, f[i], g[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [-82, -83, -20, -34, 16, 48, -8, -28, -53, 63].\nDefine task_3_runningCost_static = -66.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "25", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,28,35]},{\"node_id\":\"task_2\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":25}]"}
{"id": "python/three_chain_target/92/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -27}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-34, 86, 16, 58, 2, -33, 88, -87, 58, 34].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [24, -19, -23, -29, -43, 4, 34, 20, 53, 96].\nDefine task_3_runningCost_static = 38.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-72},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-72},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":5}]"}
{"id": "python/three_chain_target/92/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [3, -45, -84, -36, -2, 56, 12, -7, -8, -76]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    for (i, v) in enumerate(list_1):\n        if not stk or list_1[stk[-1]] > v:\n            stk.append(i)\n    ans = 0\n    for i in range(len(list_1) - 1, -1, -1):\n        while stk and list_1[stk[-1]] <= list_1[i]:\n            ans = max(ans, i - stk.pop())\n        if not stk:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-52, -15, 43, -51, 79, -7, -52, 64, 43, 64].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_2 = 1\n            return python_result_2\n        if x * y <= val_2:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [-46, 59, 18, 65, -9, -3, -19, 12, 100, 62].\nDefine task_3_runningCost_static = -24.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "73", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":73}]"}
{"id": "python/three_chain_target/92/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -19}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [54, 86, -69, 78, 72, -39, 86, -24, -76, -46].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    (ans, y) = (1, nums[0])\n    for x in nums[1:]:\n        if x == 0:\n            python_result_1 = 1\n            return python_result_1\n        if x * y <= val_1:\n            y *= x\n        else:\n            y = x\n            ans += 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-55, 63, -63, 50, -93, -67, -69, 88, -39, 57].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_2:\n            break\n    python_result_2 = mx\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [61, 65, -82, -71, 84, -37, 38, 86, 24, 43].\nDefine task_3_runningCost_static = -68.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "64", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":63},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":64}]"}
{"id": "python/three_chain_target/92/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 10}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [-62, 56, -49, 10, -33, -11, 34, 4, 56, -85].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [-8, 42, 38, -98, -3, -29, 3, -54, 25, -2].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in arr:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if val_2 == 1:\n        python_result_2 = ans % mod\n        return python_result_2\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (val_2 - 2) * s + mx_pre + mx_suf)\n    python_result_2 = ans % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [77, -10, -34, -28, 92, -65, 3, 45, 41, -37].\nDefine task_3_runningCost_static = 38.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "24", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":95},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":24}]"}
{"id": "python/three_chain_target/92/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 86}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_1.\n```python\ndef task_1(val_1: int) -> int:\n    ans = 0\n    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)\n    while val_1:\n        if ans < mi // 10 + 1 or ans > mx // 10:\n            python_result_1 = 0\n            return python_result_1\n        y = val_1 % 10\n        if val_1 < 0 and y > 0:\n            y -= 10\n        ans = ans * 10 + y\n        val_1 = (val_1 - y) // 10\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_initialExperience_static = 2.\nDefine task_2_energy_static = [-49, 41, -50, 7, -63, 83, -69, -88, 96, 83].\nDefine task_2_experience_static = [-5, -20, -66, 58, -3, -4, -15, -9, 37, 48].\nTrace the execution of task_2 with inputs initialExperience = task_2_initialExperience_static, energy = task_2_energy_static, experience = task_2_experience_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:\n    sum_energy = sum(energy)\n    energy_hours = max(0, sum_energy + 1 - val_2)\n    exp_hours = 0\n    current_exp = initialExperience\n    for e in experience:\n        if current_exp <= e:\n            delta = e + 1 - current_exp\n            exp_hours += delta\n            current_exp += delta\n        current_exp += e\n    python_result_2 = energy_hours + exp_hours\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [14, 1, 53, 68, 50, -15, -48, 3, 1, 74].\nDefine task_3_runningCost_static = -69.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "51", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":68},{\"node_id\":\"task_2\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":148},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":51}]"}
{"id": "python/three_chain_target/92/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -94}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_arr_static = [-51, -24, 26, 75, 85, -58, 90, -20, -49, -6].\nTrace the execution of task_1 with inputs arr = task_1_arr_static.\n```python\nfrom typing import List\ndef task_1(arr: List[int], val_1: int) -> int:\n    mx = arr[0]\n    cnt = 0\n    for x in arr[1:]:\n        if mx < x:\n            mx = x\n            cnt = 1\n        else:\n            cnt += 1\n        if cnt == val_1:\n            break\n    python_result_1 = mx\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nTrace the execution of task_2.\n```python\ndef task_2(val_2: int) -> int:\n    s = list(str(val_2))\n    i = 1\n    while i < len(s) and s[i - 1] <= s[i]:\n        i += 1\n    if i < len(s):\n        while i and s[i - 1] > s[i]:\n            s[i - 1] = str(int(s[i - 1]) - 1)\n            i -= 1\n        i += 1\n        while i < len(s):\n            s[i] = '9'\n            i += 1\n    python_result_2 = int(''.join(s))\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [8, 43, 69, 65, 64, -16, 28, 14, -40, -4].\nDefine task_3_runningCost_static = -84.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "58", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":90},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":89},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":58}]"}
{"id": "python/three_chain_target/92/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -32}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [68, 31, -11, -69, 16, -21, -69, -19, -78, -37].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    n = len(nums)\n    m = n >> 1\n    ans = abs(nums[m] - val_1)\n    if nums[m] > val_1:\n        for i in range(m - 1, -1, -1):\n            if nums[i] <= val_1:\n                break\n            ans += nums[i] - val_1\n    else:\n        for i in range(m + 1, n):\n            if nums[i] >= val_1:\n                break\n            ans += val_1 - nums[i]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [83, 13, 88, -23, -59, -94, -12, 59, 13, 97].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [94, 65, 76, -54, 46, 94, 84, 75, -36, -100].\nDefine task_3_runningCost_static = 5.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "86", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":24},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":24},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":86}]"}
{"id": "python/three_chain_target/92/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 70}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_tokens_static = [92, -5, 19, -71, 40, 27, 56, 6, -72, -4].\nTrace the execution of task_1 with inputs tokens = task_1_tokens_static.\n```python\nfrom typing import List\ndef task_1(tokens: List[int], val_1: int) -> int:\n    tokens.sort()\n    ans = score = 0\n    (i, j) = (0, len(tokens) - 1)\n    while i <= j:\n        if val_1 >= tokens[i]:\n            val_1 -= tokens[i]\n            (score, i) = (score + 1, i + 1)\n            ans = max(ans, score)\n        elif score:\n            val_1 += tokens[j]\n            (score, j) = (score - 1, j - 1)\n        else:\n            break\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_arr_static = [17, -25, 9, 95, 60, 40, -23, -42, -90, 97].\nTrace the execution of task_2 with inputs arr = task_2_arr_static.\n```python\nfrom typing import List\ndef task_2(arr: List[int], val_2: int) -> int:\n    if arr[0] > val_2:\n        python_result_2 = val_2\n        return python_result_2\n    (left, right) = (0, len(arr))\n    while left < right:\n        mid = left + right >> 1\n        if arr[mid] - mid - 1 >= val_2:\n            right = mid\n        else:\n            left = mid + 1\n    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [65, -36, -76, 60, -75, -82, 100, -92, 10, -22].\nDefine task_3_runningCost_static = -44.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "2", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":2}]"}
{"id": "python/three_chain_target/92/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 92, "target_native_task_name": "minOperationsMaxProfit:scalar", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [59, -7, 70, -64, -97, -83, -92, -18, -57, 26]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    list_1.sort()\n    n = len(list_1)\n    f = [1] * n\n    k = 0\n    for i in range(n):\n        for j in range(i):\n            if list_1[i] % list_1[j] == 0:\n                f[i] = max(f[i], f[j] + 1)\n        if f[k] < f[i]:\n            k = i\n    m = f[k]\n    i = k\n    ans = []\n    while m:\n        if list_1[k] % list_1[i] == 0 and f[i] == m:\n            ans.append(list_1[i])\n            (k, m) = (i, m - 1)\n        i -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_k_static = 58.\nTrace the execution of task_2 with inputs k = task_2_k_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], k: int) -> int:\n    s = mx_pre = mi_pre = mx_sub = 0\n    for x in list_2:\n        s += x\n        mx_pre = max(mx_pre, s)\n        mi_pre = min(mi_pre, s)\n        mx_sub = max(mx_sub, s - mi_pre)\n    ans = mx_sub\n    mod = 10 ** 9 + 7\n    if k == 1:\n        python_result_2 = ans % mod\n        return python_result_2\n    mx_suf = s - mi_pre\n    ans = max(ans, mx_pre + mx_suf)\n    if s > 0:\n        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)\n    python_result_2 = ans % mod\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet val_3 be the result of preprocessing task_2_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_3_customers_static = [95, -5, -18, -23, -73, 71, 37, 92, -21, -39].\nDefine task_3_runningCost_static = -9.\nTrace the execution of task_3 with inputs customers = task_3_customers_static, runningCost = task_3_runningCost_static.\n```python\nfrom typing import List\ndef task_3(customers: List[int], val_3: int, runningCost: int) -> int:\n    ans = -1\n    mx = t = 0\n    wait = 0\n    i = 0\n    while wait or i < len(customers):\n        wait += customers[i] if i < len(customers) else 0\n        up = wait if wait < 4 else 4\n        wait -= up\n        t += up * val_3 - runningCost\n        i += 1\n        if t > mx:\n            mx = t\n            ans = i\n    python_result_3 = ans\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "40", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[70,-7]},{\"node_id\":\"task_2\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":3661},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":40}]"}
{"id": "python/three_chain_target/93/0", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 0, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 54}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-32, 99, 19, 9, -37, -92, -19, -40, 19, 42].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-93, -87, -91, -23, -34, -91, -9, -16, -45, -58].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,1,81,4356,3600,961,100,676,256,7396]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-92,99,-40,-37,-32,-19,9,19,19,42]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-186,10,-131,-60,-66,-109,1,1,-26,-16]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,1,81,4356,3600,961,100,676,256,7396]}]"}
{"id": "python/three_chain_target/93/1", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 1, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [69, -20, -48, 43, 16, -29, 40, 5, -39, -26]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, j) = (0, len(list_1) - 1)\n    (a, b) = (list_1[i], list_1[j])\n    ans = 0\n    while i < j:\n        if a < b:\n            i += 1\n            a += list_1[i]\n            ans += 1\n        elif b < a:\n            j -= 1\n            b += list_1[j]\n            ans += 1\n        else:\n            (i, j) = (i + 1, j - 1)\n            (a, b) = (list_1[i], list_1[j])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-77, -48, -45, -3, 77, -3, 83, 99, 52, 8].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[9,5929,9,6889,9801,2704,64,2025,2304,5929]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-77,-48,-45,-3,77,-3,83,99,52,8]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[9,5929,9,6889,9801,2704,64,2025,2304,5929]}]"}
{"id": "python/three_chain_target/93/2", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 2, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-55, -14, 72, 63, 33, 37, 67, 90, 19, -57]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    stk = []\n    for x in list_1:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_1 = stk\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[0,4,4,16,16,36,36,64]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-55,-14,72,63,33,37,67,90]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-6,-4,-2,0,2,4,6,8]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,4,4,16,16,36,36,64]}]"}
{"id": "python/three_chain_target/93/3", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 3, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [81, 58, 70, 48, -63, 14, 60, 100, -35, 22]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    def dfs(nums):\n        if len(nums) < 2:\n            return 1\n        left = [x for x in nums if x < nums[0]]\n        right = [x for x in nums if x > nums[0]]\n        (m, n) = (len(left), len(right))\n        (a, b) = (dfs(left), dfs(right))\n        return c[m + n][m] * a % mod * b % mod\n    n = len(list_1)\n    mod = 10 ** 9 + 7\n    c = [[0] * n for _ in range(n)]\n    c[0][0] = 1\n    for i in range(1, n):\n        c[i][0] = 1\n        for j in range(1, i + 1):\n            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod\n    python_result_1 = (dfs(list_1) - 1 + mod) % mod\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-71, 13, 36, 24, 83, 95, -78, 82, -5, -29].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[25,169,576,841,1296,5041,6084,6724,6889,9025]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":83},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-78,-71,-29,-5,13,24,36,82,83,95]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[25,169,576,841,1296,5041,6084,6724,6889,9025]}]"}
{"id": "python/three_chain_target/93/4", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 4, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-85, 93, 52, 72, 33, 12, -42, 92, -30, -6]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> List[int]:\n    n = len(list_1)\n    ans = [0] * n\n    stk = []\n    for i in range(n - 1, -1, -1):\n        while stk and stk[-1] < list_1[i]:\n            ans[i] += 1\n            stk.pop()\n        if stk:\n            ans[i] += 1\n        stk.append(list_1[i])\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    (i, j) = (0, len(list_2) - 1)\n    while i < j:\n        if list_2[i] % 2 == 0:\n            i += 1\n        elif list_2[j] % 2 == 1:\n            j -= 1\n        else:\n            (list_2[i], list_2[j]) = (list_2[j], list_2[i])\n            (i, j) = (i + 1, j - 1)\n    python_result_2 = list_2\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[0,4,4,4,4,1,1,9,1,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,3,1,2,2,2,1,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[0,2,2,2,2,1,1,3,1,1]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,4,4,4,4,1,1,9,1,1]}]"}
{"id": "python/three_chain_target/93/5", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 5, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [14, 79, -79, 14, 26, 28, -72, 34, -21, -52]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nDefine task_1_k_static = -44.\nTrace the execution of task_1 with inputs k = task_1_k_static.\n```python\nfrom typing import List\ndef task_1(list_1: List[int], k: int) -> int:\n    mx = max(list_1)\n    n = len(list_1)\n    ans = cnt = j = 0\n    for x in list_1:\n        while j < n and cnt < k:\n            cnt += list_1[j] == mx\n            j += 1\n        if cnt < k:\n            break\n        ans += n - j + 1\n        cnt -= x == mx\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = 27.\nDefine task_2_bound_static = 15.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,121]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,11]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,121]}]"}
{"id": "python/three_chain_target/93/6", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 6, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-2, 80, 75, 32, 9, 30, -82, 50, 65, 21]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    if list_1[0] <= list_1[-1]:\n        python_result_1 = list_1[0]\n        return python_result_1\n    (left, right) = (0, len(list_1) - 1)\n    while left < right:\n        mid = left + right >> 1\n        if list_1[0] <= list_1[mid]:\n            left = mid + 1\n        else:\n            right = mid\n    python_result_1 = list_1[left]\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -73.\nDefine task_2_bound_static = 8.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,5184,4,5625,25,4761,49,6561]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-2},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-72,-1,-75,5,-69,-7,-81]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,5184,4,5625,25,4761,49,6561]}]"}
{"id": "python/three_chain_target/93/7", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 7, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -73}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_y_static = 4.\nDefine task_1_bound_static = 56.\nTrace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.\n```python\nfrom typing import List\ndef task_1(val_1: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_1 == 1:\n            break\n        a *= val_1\n    python_result_1 = list(ans)\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nDefine task_2_arr2_static = [-47, 21, -5, 86, -65, 99, 85, -38, 63, 75].\nTrace the execution of task_2 with inputs arr2 = task_2_arr2_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], arr2: List[int]) -> List[int]:\n    (i, j) = (len(list_2) - 1, len(arr2) - 1)\n    c = 0\n    ans = []\n    while i >= 0 or j >= 0 or c:\n        a = 0 if i < 0 else list_2[i]\n        b = 0 if j < 0 else arr2[j]\n        x = a + b + c\n        c = 0\n        if x >= 2:\n            x -= 2\n            c -= 1\n        elif x == -1:\n            x = 1\n            c += 1\n        ans.append(x)\n        (i, j) = (i - 1, j - 1)\n    while len(ans) > 1 and ans[-1] == 0:\n        ans.pop()\n    python_result_2 = ans[::-1]\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[9,64,121,169,3721,7396,36,361,2304,4096]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,5,17,-72,-69,-57,-9]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-48,19,-6,86,-61,113,11,-108,3,64]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[9,64,121,169,3721,7396,36,361,2304,4096]}]"}
{"id": "python/three_chain_target/93/8", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 8, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -62}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-79, -51, -7, -78, 47, -32, -40, 66, -69, 76].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,5776,5776,4356,4356,4356,2209,2209,49,2601]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-79,-51,-7,-78,47,-32,-40,66,-69,76]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-51,-7,47,47,66,66,66,76,76,-1]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,5776,5776,4356,4356,4356,2209,2209,49,2601]}]"}
{"id": "python/three_chain_target/93/9", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 9, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -4}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [68, 78, -99, 73, -37, 10, -30, -47, 38, -47].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    ans = [-1] * n\n    stk = []\n    for i in range(n * 2 - 1, -1, -1):\n        i %= n\n        while stk and stk[-1] <= list_2[i]:\n            stk.pop()\n        if stk:\n            ans[i] = stk[-1]\n        stk.append(list_2[i])\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[1,5329,6084,100,1444,1444,1444,4624,4624,6084]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[68,78,-99,73,-37,10,-30,-47,38,-47]},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[78,-1,73,78,10,38,38,38,68,68]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,5329,6084,100,1444,1444,1444,4624,4624,6084]}]"}
{"id": "python/three_chain_target/93/10", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 10, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 97}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-59, -59, -68, -38, -40, -3, 66, -59, 72, -26].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    leftSum = [0] * n\n    for i in range(1, n):\n        leftSum[i] = leftSum[i - 1] + list_2[i - 1]\n    total = sum(list_2)\n    answer = []\n    for i in range(n):\n        rightSum_i = total - list_2[i] - leftSum[i]\n        answer.append(abs(leftSum[i] - rightSum_i))\n    python_result_2 = answer\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[256,289,9801,361,8836,3364,7569,576,2116,7396]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-68,-59,-59,-59,-40,-38,-26,-3,66,72]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[146,19,99,217,316,394,458,487,424,286]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[256,289,9801,361,8836,3364,7569,576,2116,7396]}]"}
{"id": "python/three_chain_target/93/11", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 11, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -33}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-50, 57, 16, -67, -65, -97, 39, -59, 85, -78].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    n = len(list_2)\n    suf = [0] * (n + 1)\n    s = set()\n    for i in range(n - 1, -1, -1):\n        s.add(list_2[i])\n        suf[i] = len(s)\n    s.clear()\n    ans = [0] * n\n    for (i, x) in enumerate(list_2):\n        s.add(x)\n        ans[i] = len(s) - suf[i + 1]\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[0,4,4,16,16,36,36,64,64,100]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-50,57,16,-67,-65,-97,39,-59,85,-78]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,4,4,16,16,36,36,64,64,100]}]"}
{"id": "python/three_chain_target/93/12", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 12, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": -44}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-6, 53, -3, -40, 77, -47, -97, 89, -54, -48].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> int:\n    nums.sort()\n    (ans, n) = (0, len(nums))\n    for i in range(n - 2):\n        (j, k) = (i + 1, n - 1)\n        while j < k:\n            x = nums[i] + nums[j] + nums[k]\n            if x < val_1:\n                ans += k - j\n                j += 1\n            else:\n                k -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [-50, 97, -66, -84, -37, 40, -11, 59, 90, -59].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[121,1369,1600,2500,3481,3481,4356,7056,8100,9409]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":51},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-84,-66,-59,-50,-37,-11,40,59,90,97]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[121,1369,1600,2500,3481,3481,4356,7056,8100,9409]}]"}
{"id": "python/three_chain_target/93/13", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 13, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [0, 18, 77, -24, -35, -21, -27, 11, -65, -38]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    stk = []\n    ans = 0\n    for x in list_1:\n        while stk and stk[-1][0] < x:\n            stk.pop()\n        if not stk or stk[-1][0] > x:\n            stk.append([x, 1])\n        else:\n            stk[-1][1] += 1\n        ans += stk[-1][1]\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [48, 54, 28, 6, 35, 85, 43, -80, -4, 40].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_2 = ans\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[16,1849,7225,2304,6400,36,1600,1225,784,2916]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[28,35,40,-4,43,85,48,-80,6,54]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[16,1849,7225,2304,6400,36,1600,1225,784,2916]}]"}
{"id": "python/three_chain_target/93/14", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 14, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": [-100, 5, 1, 57, 80, -50, 42, -100, -32, -24]}.\nTask 1:\nLet list_1 be the result of preprocessing task_1_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_1 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_1.\n```python\nfrom typing import List\ndef task_1(list_1: List[int]) -> int:\n    (i, n) = (0, len(list_1))\n    while i + 1 < n and list_1[i] < list_1[i + 1]:\n        i += 1\n    if i == n - 1:\n        python_result_1 = n * (n + 1) // 2\n        return python_result_1\n    ans = i + 2\n    j = n - 1\n    while j:\n        while i >= 0 and list_1[i] >= list_1[j]:\n            i -= 1\n        ans += i + 2\n        if list_1[j - 1] >= list_1[j]:\n            break\n        j -= 1\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet val_2 be the result of preprocessing task_1_out[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_y_static = -27.\nDefine task_2_bound_static = 27.\nTrace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.\n```python\nfrom typing import List\ndef task_2(val_2: int, y: int, bound: int) -> List[int]:\n    ans = []\n    a = 1\n    while a <= bound:\n        b = 1\n        while a + b <= bound:\n            ans.append(a + b)\n            b *= y\n            if y == 1:\n                break\n        if val_2 == 1:\n            break\n        a *= val_2\n    python_result_2 = list(ans)\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[4,676,36,484,676,4]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-26,6,-22,26,-2]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,676,36,484,676,4]}]"}
{"id": "python/three_chain_target/93/15", "category": "python", "topology": "three_chain_target", "target_node_id": "task_3", "target_native_task_id": 93, "target_native_task_name": "sortedSquares:list", "sample_idx": 15, "prompt": "Solve the following tasks. Output the result for each.\n\nDefine task_1_input = {\"result\": 2}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_1_nums_static = [-63, -3, -7, 89, -86, 8, 28, -12, -14, 24].\nTrace the execution of task_1 with inputs nums = task_1_nums_static.\n```python\nfrom typing import List\ndef task_1(nums: List[int], val_1: int) -> List[int]:\n    n = len(nums)\n    arr = sorted(zip(nums, range(n)))\n    ans = [0] * n\n    i = 0\n    while i < n:\n        j = i + 1\n        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:\n            j += 1\n        idx = sorted((k for (_, k) in arr[i:j]))\n        for (k, (x, _)) in zip(idx, arr[i:j]):\n            ans[k] = x\n        i = j\n    python_result_1 = ans\n    return python_result_1\n```\nLet python_result_1 be the value returned by task_1.\nOutput the result as task_1_out = {\"result\": python_result_1}, replacing python_result_1 with its calculated value.\n\nTask 2:\nLet list_2 be the result of preprocessing task_1_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_2.\n```python\nfrom typing import List\ndef task_2(list_2: List[int]) -> List[int]:\n    stk = []\n    for x in list_2:\n        if x > 0:\n            stk.append(x)\n        else:\n            while stk and stk[-1] > 0 and (stk[-1] < -x):\n                stk.pop()\n            if stk and stk[-1] == -x:\n                stk.pop()\n            elif not stk or stk[-1] < 0:\n                stk.append(x)\n    python_result_2 = stk\n    return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nTask 3:\nLet list_3 be the result of preprocessing task_2_out[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the first 10 elements.\nTrace the execution of task_3.\n```python\nfrom typing import List\ndef task_3(list_3: List[int]) -> List[int]:\n    ans = []\n    (i, j) = (0, len(list_3) - 1)\n    while i <= j:\n        a = list_3[i] * list_3[i]\n        b = list_3[j] * list_3[j]\n        if a > b:\n            ans.append(a)\n            i += 1\n        else:\n            ans.append(b)\n            j -= 1\n    python_result_3 = ans[::-1]\n    return python_result_3\n```\nLet python_result_3 be the value returned by task_3.\nOutput the result as task_3_out = {\"result\": python_result_3}, replacing python_result_3 with its calculated value.\n", "target_output_json": "[9,49,7921,64,784,576,3969]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-63,-3,-7,89,-86,8,28,-14,-12,24]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-63,-3,-7,89,8,28,24]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[9,49,7921,64,784,576,3969]}]"}